TMD physics at [email protected] COMPASS COmmon Muon and Proton Apparatus for...
Transcript of TMD physics at [email protected] COMPASS COmmon Muon and Proton Apparatus for...
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TMD physics at present and future
Franco Bradamante on behalf of the COMPASS Collaboration [email protected]
COMPASS
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COmmon Muon and Proton Apparatus for Structure and Spectroscopy
fixed target experiment at the CERN SPS
LHC
SPS
Jefferson Lab, 22 February 2017 F. Bradamante
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COmmon Muon and Proton Apparatus for Structure and Spectroscopy
fixed target experiment at the CERN SPS
physics programme:
hadron spectroscopy (p, ฯ, K) โข light mesons, glue-balls, exotic mesons โข polarisability of pion and kaon
nucleon structure (ฮผ) โข longitudinal spin structure โข transverse momentum and transverse spin structure
Jefferson Lab, 22 February 2017 F. Bradamante
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COmmon Muon and Proton Apparatus for Structure and Spectroscopy
fixed target experiment at the CERN SPS
physics programme:
hadron spectroscopy (p, ฯ, K) โข light mesons, glue-balls, exotic mesons โข polarisability of pion and kaon
nucleon structure (ฮผ) โข longitudinal spin structure โข transverse momentum and transverse spin structure
this talk
Jefferson Lab, 22 February 2017 F. Bradamante
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designed to โข use high energy beams โข have large angular acceptance โข cover a broad kinematical range
COMPASS spectrometer
Jefferson Lab, 22 February 2017 F. Bradamante
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ยต beam
Polarised Target
SM1
SM2
two stages spectrometer โข Large Angle Spectrometer (SM1) โข Small Angle Spectrometer (SM2)
~ 50 m
designed to โข use high energy beams โข have large angular acceptance โข cover a broad kinematical range
variety of tracking detectors to cope with different particle flux
from ฮธ = 0 to ฮธ โ 200 mrad with a good azimuthal acceptance
MuonWall
MuonWall
E/HCAL E/HCAL
calorimetry, ฮผID
COMPASS spectrometer
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ยต beam
Polarised Target
SM1
SM2
two stages spectrometer โข Large Angle Spectrometer (SM1) โข Small Angle Spectrometer (SM2)
~ 50 m
designed to โข use high energy beams โข have large angular acceptance โข cover a broad kinematical range
variety of tracking detectors to cope with different particle flux
from ฮธ = 0 to ฮธ โ 200 mrad with a good azimuthal acceptance
MuonWall
MuonWall
E/HCAL E/HCAL
calorimetry, ฮผID RICH RICH detector
COMPASS spectrometer
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the polarized target system (>2005)
solenoid 2.5T dipole magnet 0.6T
3He โ 4He dilution refrigerator (T~50mK)
ฮผ
d (6LiD) p (NH3) polarization 50% 90% dilution factor 40% 16%
acceptance > ยฑ 180 mrad
3 target cells 30, 60, and 30 cm long
opposite polarisation
no evidence for relevant nuclear effects (160 GeV)
Jefferson Lab, 22 February 2017 F. Bradamante
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the polarized target system
Jefferson Lab, 22 February 2017 F. Bradamante
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COMPASS data taking
Jefferson Lab, 22 February 2017 F. Bradamante
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COMPASS data taking 2002 nucleon structure with 160 GeV ฮผ L&T polarised deuteron target 2003 nucleon structure with 160 GeV ฮผ L&T polarised deuteron target 2004 nucleon structure with 160 GeV ฮผ L&T polarised deuteron target 2005 CERN accelerators shut down 2006 nucleon structure with 160 GeV ฮผ L polarised deuteron target 2007 nucleon structure with 160 GeV ฮผ L&T polarised proton target 2008 hadron spectroscopy 2009 hadron spectroscopy 2010 nucleon structure with 160 GeV ฮผ T polarised proton target 2011 nucleon structure with 190 GeV ฮผ L polarised proton target 2012 Primakoff & DVCS / SIDIS test
Jefferson Lab, 22 February 2017 F. Bradamante
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COMPASS data taking 2002 nucleon structure with 160 GeV ฮผ L&T polarised deuteron target 2003 nucleon structure with 160 GeV ฮผ L&T polarised deuteron target 2004 nucleon structure with 160 GeV ฮผ L&T polarised deuteron target 2005 CERN accelerators shut down 2006 nucleon structure with 160 GeV ฮผ L polarised deuteron target 2007 nucleon structure with 160 GeV ฮผ L&T polarised proton target 2008 hadron spectroscopy 2009 hadron spectroscopy 2010 nucleon structure with 160 GeV ฮผ T polarised proton target 2011 nucleon structure with 190 GeV ฮผ L polarised proton target 2012 Primakoff & DVCS / SIDIS test
Jefferson Lab, 22 February 2017 F. Bradamante
2013 CERN accelerators shut down 2014 Test beam Drell-Yan process with ฯ beam and T polarised proton target 2015 Drell-Yan process with ฯ beam and T polarised proton target 2016 DVCS / SIDIS with ฮผ beam and unpolarised proton target 2017 DVCS / SIDIS with ฮผ beam and unpolarised proton target 2018 Drell-Yan process with ฯ beam and T polarised proton target
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SPECTROSCOPY high energy hadron beams
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SPECTROSCOPY Mesons quantum numbers in CQM forbidden (exotic QNโs) more states in QCD:
hybrids , glueballs , multiquark states Diffractive dissociation:
Jefferson Lab, 22 February 2017 F. Bradamante
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ฯโp โ ฯโฯ+ฯโp
sample with 96โ106 events
around ฯ2 region
SPECTROSCOPY
Jefferson Lab, 22 February 2017 F. Bradamante
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โข Isobar model: โข Analysis:
โข Partial Wave Analysis (PWA) in mass bins with up to 88 waves
โข fit of spin-density matrix for major waves with Breit-Wigner
ฯโp โ ฯโฯ+ฯโp SPECTROSCOPY
X decay is chain of successive two-body decays
Jefferson Lab, 22 February 2017 F. Bradamante
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SPECTROSCOPY
Major waves ฯโp โ ฯโฯ+ฯโp
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SPECTROSCOPY charged ๐ ๐ โ๐ ๐ + ๐ ๐ โ and mixed ๐ ๐ โ๐ ๐ ๐๐ ๐ ๐ ๐๐ final states
Major waves
good agreement
Jefferson Lab, 22 February 2017 F. Bradamante
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SPECTROSCOPY
โข Observation of a new narrow axial-vector meson ๐๐๐๐ ๐๐๐๐๐๐๐๐ PRL 115 (2015) 082001
3ฯ data sample ~ 50โ106 exclusive events factor 10 to 100 compared to previous experiment
Jefferson Lab, 22 February 2017 F. Bradamante
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SPECTROSCOPY
โข Observation of a new narrow axial-vector meson ๐๐๐๐ ๐๐๐๐๐๐๐๐ PRL 115 (2015) 082001
3ฯ data sample ~ 50โ106 exclusive events factor 10 to 100 compared to previous experiment
โข long paper: Resonance Production and ๐ ๐ ๐ ๐ S-wave in ๐ ๐ โ + ๐๐ โ ๐ ๐ โ๐ ๐ โ๐ ๐ + + ๐๐๐๐๐๐๐๐๐๐๐๐๐๐ at 190 GeV/c arXiv:1509.00992 accepted for publication in PRD
Jefferson Lab, 22 February 2017 F. Bradamante
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SPECTROSCOPY
โข Observation of a new narrow axial-vector meson ๐๐๐๐ ๐๐๐๐๐๐๐๐ PRL 115 (2015) 082001
3ฯ data sample ~ 50โ106 exclusive events factor 10 to 100 compared to previous experiment
โข long paper: Resonance Production and ๐ ๐ ๐ ๐ S-wave in ๐ ๐ โ + ๐๐ โ ๐ ๐ โ๐ ๐ โ๐ ๐ + + ๐๐๐๐๐๐๐๐๐๐๐๐๐๐ at 190 GeV/c arXiv:1509.00992 accepted for publication in PRD
โข COMPASS in Phase Initiative
Jefferson Lab, 22 February 2017 F. Bradamante
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Pion polarisability: results
assuming ๐ผ๐ผ๐๐ = โ๐ฝ๐ฝ๐๐
PRL 114 (2015) 062002
CL=68%
โfalse polarizabilityโ from muon data
0.5 ยฑ 0.5stat โ 10โ4 fm3
๐ถ๐ถ๐ ๐ = ๐๐.๐๐ ยฑ ๐๐.๐๐๐ฌ๐ฌ๐ฌ๐ฌ๐ฌ๐ฌ๐ฌ๐ฌ ยฑ ๐๐.๐๐๐ฌ๐ฌ๐ฌ๐ฌ๐ฌ๐ฌ๐ฌ๐ฌ โ ๐๐๐๐โ๐๐๐๐๐๐๐๐
Jefferson Lab, 22 February 2017 F. Bradamante
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Pion polarisability: results
the COMPASS result is in significant tension with the earlier measurements the expectation from ChPT is confirmed within the uncertainties
world data including COMPASS
Jefferson Lab, 22 February 2017 F. Bradamante
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MUON beam PROGRAM: COLLINEAR NUCLEON STRUCTURE
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๐ญ๐ญ๐๐(๐๐,๐ธ๐ธ๐๐)
p
๐๐๐๐(๐๐,๐ธ๐ธ๐๐)
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Sum Rules
Bjorken
Ellis-Jafffe
|๐๐๐ด๐ด ๐๐๐๐| = 1.29 ยฑ 0.05 (stat.) ยฑ 0.10โ (syst.) from neutron ฮฒ decay: |๐๐๐ด๐ด ๐๐๐๐| = 1.2723 ยฑ 0.0023โ COMPASS data only:
Bjorken sum rule verified to 9%
ฮ1๐๐๐๐ ๐๐2 = 16๐๐๐ด๐ด๐๐๐๐
๐ถ๐ถ1๐๐๐๐ ๐๐2
โข BJ SR: major contribution from small x
โข EJ SR: no contribution at small x
NS:
Si:
PLB 753 (2016) 18
Jefferson Lab, 22 February 2017 F. Bradamante
hep-ex/1612.00620
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ฮg/g from PGF (LO)
gluon polarisation is much smaller than thought in the 1990s by many theorists (around 2โ, even up to 6โ, axial anomaly);
various methods confirmed by polarised pp at RHIC;
โg still can make a substantial contribution to nucleon spin;
Jefferson Lab, 22 February 2017 F. Bradamante
arXiv:1512.05053 [hep-ex]
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hadron multiplicities
Jefferson Lab, 22 February 2017 F. Bradamante
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pion multiplicities
Jefferson Lab, 22 February 2017 F. Bradamante
PLB 764 (2017) 001
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kaon multiplicities
Jefferson Lab, 22 February 2017 F. Bradamante
hep-ex/1608.06760, acc. PLB
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MUON beam PROGRAM: TRANSVERSITY and TMD PDFs
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SIDIS gives access to all of them
taking into account the quark intrinsic transverse momentum kT , at leading order other 6 TMD PDFs are needed for a full description of the nucleon structure
the structure of the nucleon
Jefferson Lab, 22 February 2017 F. Bradamante
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Semi-Inclusive Deep Inelastic Scattering hard interaction of a lepton with a nucleon via virtual photon exchange
๐๐๐๐๐๐โ๐๐๐๐๐๐ โ๏ฟฝ ๐๐ ๐๐ โ ๐๐๐๐๐๐โ๐๐๐๐ โ ๐ซ๐ซ๐๐๐๐(๐๐)
๐๐
Jefferson Lab, 22 February 2017 F. Bradamante
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Semi-Inclusive Deep Inelastic Scattering
18 structure functions
unpol target
โ pol target
โ pol target
Jefferson Lab, 22 February 2017 F. Bradamante
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Semi-Inclusive Deep Inelastic Scattering
14 independent azimuthal modulations
Jefferson Lab, 22 February 2017 F. Bradamante
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Semi-Inclusive Deep Inelastic Scattering
11T Dg
โฅโฅ11T Hh
11T Df โฅ
โฅโฅ11LHh
โฅโฅ11 Hh
โฅ11 Hh
14 independent azimuthal modulations
amplitudes of the modulations TMD PDFs
Jefferson Lab, 22 February 2017 F. Bradamante
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Semi-Inclusive Deep Inelastic Scattering
11T Dg
โฅโฅ11T Hh
11T Df โฅ
โฅโฅ11LHh
โฅโฅ11 Hh
โฅ11 Hh
14 independent azimuthal modulations
amplitudes of the modulations TMD PDFs
SIDIS โข allows to disentangle the effects related to the
different TMD PDFs and to access all of them โข by identifying the final state hadrons and using
different targets allows for flavour separation very powerful tool
all the amplitudes (AA) have been measured in COMPASS
Jefferson Lab, 22 February 2017 F. Bradamante
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some SIDIS results on TRANSVERSITY and TMD PDFs
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the transversity PDF the Sivers PDF
MAJOR RESULT: in the past 10 years 2 of these new PDFโs have been
measured and shown to be different from zero
amplitude of the sine modulation in ๐๐โ + ๐๐๐ ๐ โ ฯ Collins asymmetry โฅ
โ 11 Hh~
amplitude of the sine modulation in ๐๐โ โ ๐๐๐ ๐ Sivers asymmetry
11T Df โโฅ~
by COMPASS and HERMES
A STEP TOWARDS THE 3-D STRUCTURE OF THE NUCLEON
Semi-Inclusive Deep Inelastic Scattering
Jefferson Lab, 22 February 2017 F. Bradamante
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the transversity PDF the Sivers PDF
MAJOR RESULT: in the past 10 years 2 of these new PDFโs have been
measured and shown to be different from zero
amplitude of the sine modulation in ๐๐โ + ๐๐๐ ๐ โ ฯ Collins asymmetry โฅ
โ 11 Hh~
amplitude of the sine modulation in ๐๐โ โ ๐๐๐ ๐ Sivers asymmetry
11T Df โโฅ~
by COMPASS and HERMES
A STEP TOWARDS THE 3-D STRUCTURE OF THE NUCLEON
Semi-Inclusive Deep Inelastic Scattering
Jefferson Lab, 22 February 2017 F. Bradamante
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Collins asymmetry โฅโ 11 Hh~
deuteron
NPB765 2007 PLB673 2009
2004: first evidence for non-zero Collins asymmetry on p from HERMES
final COMPASS results
Jefferson Lab, 22 February 2017 F. Bradamante
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Collins asymmetry โฅโ 11 Hh~
deuteron
NPB765 2007 PLB673 2009
2004: first evidence for non-zero Collins asymmetry on p from HERMES
final COMPASS results
Hall A PRL107, 2011
neutron
Jefferson Lab, 22 February 2017 F. Bradamante
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Collins asymmetry
proton
PLB693 2010
PLB744 2015
โฅโ 11 Hh~
deuteron
NPB765 2007 PLB673 2009
2004: first evidence for non-zero Collins asymmetry on p from HERMES
final COMPASS results
Jefferson Lab, 22 February 2017 F. Bradamante
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transversity from SIDIS
fit to HERMES p, COMPASS d, Belle e+e- data
M. Anselmino et al., Nucl. Phys. Proc. Suppl. 2009
Jefferson Lab, 22 February 2017 F. Bradamante
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dihadron asymmetry ~ โ1๐ป๐ป1โ
Jefferson Lab, 22 February 2017 F. Bradamante
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dihadron asymmetry
final COMPASS results
2008: first evidence for non-zero di-h FF on p from HERMES, low statistics
proton: same sign and shape slightly higher
than Collins asymmetry for h+
deuteron: compatible with zero
PLB 713 2012, PLB736 2014
~ โ1๐ป๐ป1โ
Jefferson Lab, 22 February 2017 F. Bradamante
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Transversity from Collins and di-hadron asymmetries point by point extraction
one can use directly the COMPASS p and d asymmetries, and the Belle data to evaluate the analysing power (with some โreasonableโ assumptions)
advantage: no Monte Carlo nor parametrisation is needed
open points: dihadron
closed points: Collins
A. Martin F. B. V. Barone PRD91 2015
Jefferson Lab, 22 February 2017 F. Bradamante
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Transversity from Collins and di-hadron asymmetries point by point extraction
one can use directly the COMPASS p and d asymmetries, and the Belle data to evaluate the analysing power (with some โreasonableโ assumptions)
advantage: no MC nor parametrisation is needed
open points: dihadron
closed points: Collins
A. Martin F. B. V. Barone PRD91 2015
sea
Jefferson Lab, 22 February 2017 F. Bradamante
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interplay among dihadron and single hadron asymmetries
Jefferson Lab, 22 February 2017 F. Bradamante
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interplay among dihadron and single hadron asymmetries
โข Collins asymmetry for h+ and for h-
โmirror symmetryโ
โข dihadron asymmetry only somewhat larger than h+ Collins
โข meaning of the relevant angles
hints for a common origin of the Collins FF and DiFF
Como 2013, DSpin2013, PLB736 (2014) 124
Jefferson Lab, 22 February 2017 F. Bradamante
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interplay among dihadron and single hadron asymmetries
โข Collins asymmetry for h+ and for h-
โmirror symmetryโ
โข dihadron asymmetry only somewhat larger than h+ Collins
โข meaning of the relevant angles
hints for a common origin of the Collins FF and DiFF
Como 2013, DSpin2013, PLB736 (2014) 124
further study: look at the โ๐๐ = ๐๐1 โ ๐๐2 dependence of the asymmetries one of the COMPASS studies on final state hadron correlations
Jefferson Lab, 22 February 2017 F. Bradamante
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interplay among dihadron and single hadron asymmetries
๐๐+ ๐๐โ
ACL1sin ฮฆC = a1 + a2cosโ๐๐
a1 = โ a2 = a ACL2sin ฮฆC = a2 + a1cosโ๐๐
analitically
mirror symmetry
agreement with data if
PLB 753 (2016) 406
Jefferson Lab, 22 February 2017 F. Bradamante
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interplay among dihadron and single hadron asymmetries
๐๐+ ๐๐โ
ACL1sin ฮฆC = a1 + a2cosโ๐๐
a1 = โ a2 = a
ACL 2hsin ฮฆ2h,S = a 2 1 โ cosโ๐๐
ACL2sin ฮฆC = a2 + a1cosโ๐๐
ratio of the ฮ๐๐ integrated 2h and 1h asymmetries: 4/ฯ slightly larger than h+
analitically
mirror symmetry
agreement with data if
PLB 753 (2016) 406
Jefferson Lab, 22 February 2017 F. Bradamante
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interplay among dihadron and single hadron asymmetries
๐๐+ ๐๐โ
ACL1sin ฮฆC = a1 + a2cosโ๐๐
a1 = โ a2 = a
ACL 2hsin ฮฆ2h,S = a 2 1 โ cosโ๐๐
ACL2sin ฮฆC = a2 + a1cosโ๐๐
agreement with data
a very simple relationships among the asymmetries in the โ2h sampleโ
they are driven by the same elementary mechanism.
ratio of the ฮ๐๐ integrated 2h and 1h asymmetries: 4/ฯ slightly larger than h+
analitically
mirror symmetry
agreement with data if
PLB 753 (2016) 406
Jefferson Lab, 22 February 2017 F. Bradamante
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interplay among dihadron and single hadron asymmetries
๐๐+ ๐๐โ
new: first results from a Monte Carlo code for transversely polarized quark jet based on the string fragmentation and including, for the first time, the 3P0 mechanism โ only one free parameter for spin effects
results in good qualitative agreement with 1h and 2h asymmetries at COMPASS and Belle, and with ๐ฅ๐ฅ๐๐ dependence
A. Kerbiziet al, SPIN2016
Jefferson Lab, 22 February 2017 F. Bradamante
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Sivers asymmetry
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clear evidence for a positive signal for h+, which extends to small x
Sivers asymmetry on proton charged hadrons 2010 data
ฯsyst~ 0.5 ฯstat
h+
h-
Jefferson Lab, 22 February 2017 F. Bradamante
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COMPASS has measured the TSA in the 4 Q2 ranges of the Drell-Yan experiment
Sivers asymmetry on proton
Jefferson Lab, 22 February 2017 F. Bradamante
Drell-Yan 190 GeV pion beam
SIDIS 160 muon beam
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COMPASS has measured the TSA in the 4 Q2 ranges of the Drell-Yan experiment
Transversity 2014
Sivers asymmetry on proton
hep-ex/1609.07374, PLB
Jefferson Lab, 22 February 2017 F. Bradamante
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COMPASS has measured the TSA in the 4 Q2 ranges of the Drell-Yan experiment
โgoldenโ region: Q2 >16 GeV2
clearly positive test of change of sign feasible
Sivers asymmetry on proton
F. Bradamante
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TSA on proton
multiD (๐๐,๐ธ๐ธ๐๐; ๐๐,๐ท๐ท๐ป๐ป) analysis an example: Sivers asymmetry
SPIN2014
๐๐๐๐ > 0.1 GeV/c
0.1 < z < 0.2 0.4 < z < 1.0 0.2 < z < 0.4
preliminary
1<Q2<1.7 Gev2
1.7<Q2<3 Gev2
3<Q2<7Gev2
7<Q2<16Gev2
16<Q2<81 Gev2
x x x Jefferson Lab, 22 February 2017 F. Bradamante
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๐จ๐จ๐บ๐บ๐๐๐บ๐บ๐๐ ๐๐ =๐๐๐บ๐บ๐๐๐บ๐บ๐๐
๐๐๐ผ๐ผ= ๐๐
โ ๐๐๐๐๐๐๐๐๐๐๐๐๐ป๐ปโฅ ๐๐ ๐๐(๐๐)โซ๐ซ๐ซ๐๐๐๐(๐๐)๐ ๐ ๐๐๐๐
โ ๐๐๐๐๐๐๐๐๐๐๐๐๐๐(๐๐)โซ๐ซ๐ซ๐๐๐๐(๐๐)๐ ๐ ๐๐๐๐
the weighted Sivers asymmetry
๐๐ = ๐ท๐ท๐ป๐ป/๐๐๐๐
Jefferson Lab, 22 February 2017 F. Bradamante
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๐จ๐จ๐บ๐บ๐๐๐บ๐บ๐๐ ๐๐ =๐๐๐บ๐บ๐๐๐บ๐บ๐๐
๐๐๐ผ๐ผ= ๐๐
โ ๐๐๐๐๐๐๐๐๐๐๐๐๐ป๐ปโฅ ๐๐ ๐๐(๐๐)โซ๐ซ๐ซ๐๐๐๐(๐๐)๐ ๐ ๐๐๐๐
โ ๐๐๐๐๐๐๐๐๐๐๐๐๐๐(๐๐)โซ๐ซ๐ซ๐๐๐๐(๐๐)๐ ๐ ๐๐๐๐
the weighted Sivers asymmetry
๐๐ = ๐ท๐ท๐ป๐ป/๐๐๐๐
๐ด๐ด๐๐๐๐๐๐๐ค๐ค ๐ฅ๐ฅ SPIN2016,arXiv:1702.00621 ๐ด๐ด๐๐๐๐๐๐๐ค๐ค ๐ฅ๐ฅ PLB717 (2012) 383
Jefferson Lab, 22 February 2017 F. Bradamante
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๐จ๐จ๐บ๐บ๐๐๐บ๐บ๐๐ ๐๐ =๐๐๐บ๐บ๐๐๐บ๐บ๐๐
๐๐๐ผ๐ผ= ๐๐
โ ๐๐๐๐๐๐๐๐๐๐๐๐๐ป๐ปโฅ ๐๐ ๐๐(๐๐)โซ๐ซ๐ซ๐๐๐๐(๐๐)๐ ๐ ๐๐๐๐
โ ๐๐๐๐๐๐๐๐๐๐๐๐๐๐(๐๐)โซ๐ซ๐ซ๐๐๐๐(๐๐)๐ ๐ ๐๐๐๐
the weighted Sivers asymmetry
๐๐ = ๐ท๐ท๐ป๐ป/๐๐๐๐
๐ด๐ด๐๐๐๐๐๐๐ค๐ค ๐ฅ๐ฅ SPIN2016,arXiv:1702.00621 ๐ด๐ด๐๐๐๐๐๐๐ค๐ค ๐ฅ๐ฅ PLB717 (2012) 383
Jefferson Lab, 22 February 2017 F. Bradamante
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unpolarised SIDIS
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โข the cross-section dependence on ๐๐๐ป๐ป๐๐ comes from: โข intrinsic kT of the quarks โข ๐๐โฅ generated in the quark fragmentation
๐๐๐ป๐ป๐๐๐๐ = ๐๐โฅ๐๐ + ๐๐๐๐ ๐๐๐ป๐ป๐๐
โข the azimuthal modulations in the unpolarized cross-sections comes from:
โข intrinsic kT of the quarks โข Boer-Mulders PDF
combined analysis should allow to disentangle the different effects
COMPASS โข has produced results on ๐ณ๐ณ๐๐๐ซ๐ซ๐๐ ~๐ ๐ from 2004/6 data โข will measure SIDIS on LH2 in parallel with DVCS
unpolarised SIDIS
Relevance for TMDs:
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unpolarised SIDIS โ ๐๐๐ป๐ป๐๐ distributions
Fit distributions with โข 1 exponential for ๐๐๐๐โ2 โ [0.05, 0.68] โข 2 exponentials for ๐๐๐๐โ2 โ [0.05, 3]
Transversity 2014
needed to describe the shape of ๐๐๐๐โ2 the COMPASS data
Jefferson Lab, 22 February 2017 F. Bradamante
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๐๐
๐ธ๐ธ๐๐
๐๐๐ป๐ป๐๐๐๐
๐๐.๐๐ < ๐๐ < ๐๐.๐๐
2006 data SPIN2014
unpolarised SIDIS โ ๐๐๐ป๐ป๐๐ distributions
F. Bradamante
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๐๐
๐ธ๐ธ๐๐
๐๐๐ป๐ป๐๐๐๐
๐๐.๐๐ < ๐๐ < ๐๐.๐๐
2006 data SPIN2014
unpolarised SIDIS โ ๐๐๐ป๐ป๐๐ distributions
F. Bradamante
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unpolarised SIDIS โ ๐๐๐ป๐ป๐๐ distributions
2006 data SPIN2014
๐๐
๐ธ๐ธ๐๐
๐๐๐ป๐ป๐๐๐๐
๐๐.๐๐ < ๐๐ < ๐๐.๐๐
total: 4918 data points
F. Bradamante
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unpolarised SIDIS - azimuthal modulations cos ฯ๐๐ cos ๐๐ฯ๐๐
๐๐
๐๐ ๐๐
๐๐ NPB 886 (2014) 1046
๐๐๐ป๐ป๐๐ ๐๐๐ป๐ป๐๐
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Drell-Yan at COMPASS
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DRELL-YAN PROCESS
COMPLEMENTARY APPROACH TO SIDIS
COMPASS is measuring for the FIRST TIME the Drell-Yan process ๐ ๐ โ๐๐ โ ๐๐+๐๐โ๐๐ on a transversely polarized proton target
Jefferson Lab, 22 February 2017 F. Bradamante
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Single-polarised DY cross-section
LO QCD parton model: general expression of the DY cross-section
Jefferson Lab, 22 February 2017 F. Bradamante
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Single-polarised DY cross-section
๐๐๐๐โฅ
๐๐๐๐๐ป๐ปโฅ ๐๐๐๐๐ป๐ปโฅ
๐๐๐๐
Boer-Mulders of the ๐๐
Sivers of the p pretzelosity of the p
๐๐๐๐โฅ Boer-Mulders of the ๐๐
๐๐๐๐โฅ Boer-Mulders of the ๐๐
transversity of the p
LO QCD parton model: general expression of the DY cross-section
Jefferson Lab, 22 February 2017 F. Bradamante
๐๐๐๐โฅ Boer-Mulders of the p
๐๐๐๐ of the ๐๐
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Drell-Yan
2015 run: 190 GeV ๐ ๐ โ beam transversely polarised proton (NH3) target
Jefferson Lab, 22 February 2017 F. Bradamante
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Drell-Yan
2015 run: 190 GeV ๐ ๐ โ beam transversely polarised proton (NH3) target
thick hadron absorber
Jefferson Lab, 22 February 2017 F. Bradamante
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Drell-Yan 190 GeV ๐ ๐ โ beam, transversely polarised proton (NH3) target
Jefferson Lab, 22 February 2017 F. Bradamante
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Drell-Yan 190 GeV ๐ ๐ โ beam, transversely polarised proton (NH3) target
Jefferson Lab, 22 February 2017 F. Bradamante
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Drell-Yan 190 GeV ๐ ๐ โ beam, transversely polarised proton (NH3) target
Jefferson Lab, 22 February 2017 F. Bradamante
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Drell-Yan 190 GeV ๐ ๐ โ beam, transversely polarised proton (NH3) target
Jefferson Lab, 22 February 2017 F. Bradamante
data analysis ongoing
results at DIS 2017
30% of 2015 data
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Drell-Yan 190 GeV ๐ ๐ โ beam, transversely polarised proton (NH3) target
Jefferson Lab, 22 February 2017 F. Bradamante
data analysis ongoing
results at DIS 2017
30% of 2015 data
new run: 2018 projected uncertainty
2015+2018
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DVCS
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DVCS
Jefferson Lab, 22 February 2017 F. Bradamante
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Camera detector for exclusivity
Jefferson Lab, 22 February 2017 F. Bradamante
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DVCS vs BH 2012 data
ฯ
ฮธ ฮผโ ฮผ
ฮณ* ฮณ
p
F. Bradamante Jefferson Lab, 22 February 2017
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DVCS 2012 data
F. Bradamante Jefferson Lab, 22 February 2017
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DVCS 2012 data
F. Bradamante Jefferson Lab, 22 February 2017
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COMPASS Common Muon and Proton Apparatus for
Structure and Spectroscopy
Long-Term plans
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Physics Beyond Colliders CERN, 2016.09.07
Oleg Denisov INFN(Torino)/CERN for the COMPASS Coll.
1. COMPASS QCD facility 2. Beyond 2020 Workshop (March 2016) 3. Long term plans
โข RF separated beam โข Spectroscopy โข Drell-Yan โข Exclusive measurements with muon and hadron
beams 4. Shorter term plans
โข SIDIS โข Drell-Yan โข Astrophysics
5. Summary
Jefferson Lab, 22 February 2017 F. Bradamante
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Jefferson Lab, 22 February 2017 F. Bradamante
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Jefferson Lab, 22 February 2017 F. Bradamante
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A. Martin, F.B., V. Barone PRD91 (2015) 014034
Jefferson Lab, 22 February 2017 F. Bradamante
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Conclusions
SIDIS gave and is giving fundamental contributions to the study of the transverse structure of the nucleon Sivers, transversity, Collins functions different from zero
to progress further โข comparison with different processes, from Drell-Yan to pp hard scattering โข more from SIDIS
โข new precise measurements at new facilities with different energies JLab12, EIC
โข COMPASS can still do a lot in the โconsolidationโ phase from existing data
ฮ polarisation, weighted asymmetries, โฆ new ideas and tests with new data
LH2, hopefully in the future dโ โข more on fragmentation process
โข from e+e-, pp and SIDIS
still a long way, a lot to be learned, and a lot of fun!
Jefferson Lab, 22 February 2017 F. Bradamante
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SPARE
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Camera detector for exclusivity
clear proton signature after exclusivity selection
Jefferson Lab, 22 February 2017 F. Bradamante
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DVCSโBH interference
โข DVCS can be separated from BH and constrain the GPD H e.g. using different charge & spin (eฮผ & Pฮผ) cross section combinations of the ฮผ beam
Deep VCS Bethe-Heitler
โข at COMPASS ฮผยฑ beams have opposite polarisation
Charge & Spin sum and difference: Im I and Re I are related to
Jefferson Lab, 22 February 2017 F. Bradamante
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Jefferson Lab, 22 February 2017 F. Bradamante
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Collinear Nucleon Structure
The three ordinary PDFs
number
helicity
transversity
โข a chirally-odd distribution, hence not observable in DIS โข theoretically well known โข first exp. evidence in 2007
๐๐๐๐(๐๐)
๐๐๐๐(๐๐)
๐๐๐๐(๐๐)
๐๐(๐ฅ๐ฅ)
ฮ๐๐(๐ฅ๐ฅ)
โ๐๐๐๐(๐ฅ๐ฅ)
Jefferson Lab, 22 February 2017 F. Bradamante
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Beyond collinear pQCDโฆ
โข there are some phenomena involving transverse momenta (and transverse spin) which are not accounted for by a collinear pQCD description
โข when the observed transverse momentum PT is much smaller than the hard scale Q (two-scale process), one has to introduce the transverse-momentum dependent distributions (TMD PDFs)
โข the TMD physics was prompted by the study of transverse spin phenomena but has also led to an improved QCD knowledge of ordinary, unpolarized, TMDs
Jefferson Lab, 22 February 2017 F. Bradamante
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Sivers function unpolarized quarks in a transversely polarized nucleon
transverse spin couples to transverse momentum giving rise to a number of possible correlations
single-spin sin (ฯ โ ฯS) asymmetry
cos ฯ and cos 2ฯ asymmetries
Boer-Mulders function: transversely polarized quarks in an unpolarized nucleon
TMD PDFs
๐๐๐๐๐ป๐ปโฅ
๐๐๐๐โฅ
๐๐๐๐,๐๐โ ๐๐,๐๐๐ป๐ป = ๐๐๐๐๐๐ ๐๐,๐๐๐ป๐ป๐๐ โ ๐๐๐๐๐ป๐ป
โฅ๐๐ ๐๐,๐๐๐ป๐ป๐๐(๐ท๐ท๏ฟฝ ร ๐๐๐ป๐ป) โ ๐บ๐บ
๐๐
๐๐๐๐,๐๐โ ๐๐,๐๐๐ป๐ป =๐๐๐๐
๐๐๐๐๐๐ ๐๐,๐๐๐ป๐ป๐๐ โ ๐๐๐๐
โฅ๐๐ ๐๐,๐๐๐ป๐ป๐๐(๐ท๐ท๏ฟฝ ร ๐๐๐ป๐ป) โ ๐บ๐บ๐๐
๐๐
Jefferson Lab, 22 February 2017 F. Bradamante
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The gauge structure of TMDs:
F
TMD PDFs
Jefferson Lab, 22 February 2017 F. Bradamante
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The gauge structure of TMDs:
the existence of Sivers and Boer-Mulders functions is a consequence of the gauge link structure, which also implies T-odd TMD (SIDIS) = - TMD (DY) a fundamental test of gauge invariance
F
TMD PDFs
Jefferson Lab, 22 February 2017 F. Bradamante