Threshold resummation in hadronic scattering Werner Vogelsang Univ. Tübingen Bloomington,...
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![Page 1: Threshold resummation in hadronic scattering Werner Vogelsang Univ. Tübingen Bloomington, 12/13/2013.](https://reader036.fdocuments.us/reader036/viewer/2022070411/56649ca25503460f94961846/html5/thumbnails/1.jpg)
Threshold resummation in hadronic scattering
Werner Vogelsang
Univ. Tübingen
Bloomington, 12/13/2013
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Daniele’s talk: Resummation in SIDIS & e+e- annihilation
Color singlet hard LO scattering
Natural connection to Drell-Yan and
Now: processes with underlying QCD hard scattering:
Insights into fragm. fcts. / nucleon structure
Test / improve our understanding of QCD at high energies
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Theoretical framework
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pair mass2
One-particle inclusive (1PI) kinematics:
Pair-invariant mass (PIM) kinematics:
“like” Drell-Yan
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with partonic variables
Define
PIM:
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LO:
cf Drell-Yan
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Beyond LO:
true to all orders!
at kth order: threshold logs
e.g. NLO:
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1PI:
partonic variables:
mass2
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LO:
Beyond LO:
at kth order:
not necessarily soft !
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logs due to soft / collinear emission resummation
achieved in Mellin-moment space:
PIM:
Likewise, 1PI: moments
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soft & coll. gluons
large-angle soft
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like Drell-Yan
Kidonakis,Oderda,StermanBonciani,Catani,Mangano,NasonAlmeida,Sterman,WV
matrix problem in color space:
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same structure for 1PI:
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PIM:
1PI:
Compare leading logarithms (MS):
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Resummation for pp h1 h2 X
L. Almeida, G.Sterman, WV
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Resummation for p h X
(at COMPASS)
D.de Florian, M.Pfeuffer, A.Schäfer, WV
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p h X:
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Resummation for pp jet X
D.de Florian, P.Hinderer, A.Mukherjee, F.Ringer, WV
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recall, 1PI: ?
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Threshold logarithms depend crucially on treatment of jet:
Kidonakis, Sterman
(1) keep jet massless at threshold:
no dependence on R Kidonakis, Owens;Moch, Kumar
(2) jet allowed to be massive at threshold:
LO: jet massless
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Moch, Kumar (arXiv:1309.5311)
K
LHC
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Full (analytical) NLO calculation for “narrow jets”
Jäger, Stratmann, WV; Mukherjee, WV
…allows to pin down behavior near threshold: confirms that (2) is right de Florian, WV;
de Florian, Hinderer, Mukherjee, Ringer, WV
arXiv:1310.7192
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NNLO corrections in all-gluon channel:
Currie, Gehrmann-De Ridder, Glover, Pires, arXiv:1310.3993
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Conclusions:
• significant resummation effects in hadronic scattering: PIM / 1PI kinematics
• predictions from resummation formalism as benchmark for full NNLO calculations
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Gehrmann-De Ridder, Gehrmann, Glover, Pires, arXiv:1301.7310
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Eventually, inverse Mellin / Fourier transform:
“Matching” to NLO:
Catani,Mangano,Nason,Trentadue“Minimal prescription”