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Transcript of Iliopoulos - Radiative Corrections in Quantum Field Theory
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7/28/2019 Iliopoulos - Radiative Corrections in Quantum Field Theory
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Radiative Corrections
in Quantum Field Theory
Martinus Veltman 80th birthday
J. Iliopoulos
Amsterdam, June 24, 2011
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Happy Birthday, Tini
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Radiative Corrections
in Quantum Field Theory
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Radiative Corrections
in Quantum Field Theory
Because of Tinis contributions
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These papers, gave us to-day
THE STANDARD MODEL
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THE STANDARD MODEL
HAS BEEN ENORMOUSLYSUCCESSFUL
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0 1 2 3
had(mZ)(5)
0.02761 0.00036 0.02768
mZ[GeV]mZ[GeV] 91.1875 0.0021 91.1873
Z[GeV]Z[GeV] 2.4952 0.0023 2.4965
had
[nb]0
41.540 0.037 41.481
Rl
Rl
20.767 0.025 20.739
Afb
A0,l
0.01714 0.00095 0.01642
Al
(P)A
l
(P) 0.1465 0.0032 0.1480
RbRb 0.21638 0.00066 0.21566
Rc
Rc
0.1720 0.0030 0.1723
AfbA0,b
0.0997 0.0016 0.1037
Afb
A0,c
0.0706 0.0035 0.0742
Ab
Ab
0.925 0.020 0.935
Ac
Ac
0.670 0.026 0.668
Al(SLD)Al(SLD) 0.1513 0.0021 0.1480
sin2effsin2lept(Qfb) 0.2324 0.0012 0.2314
mW
[GeV]mW[GeV] 80.425 0.034 80.398
W[GeV]W[GeV] 2.133 0.069 2.094
mt[GeV]mt[GeV] 178.0 4.3 178.1
Mesure AjustementObservableO - Omes. ajust.
mes.
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1 = 3GFm
2t
8
22 3GFm
2W
4
22tan2 W ln m
H
mZ+ ... (1)
3 =GFm
2W
12
22ln
mHmZ
GFm2W
6
22ln
mtmZ
+ ... (2)
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0
1
2
3
4
5
6
10020 400
2
rgion exclue
had=
(5)0.027610.00036
incertitude thorique
260
95% CL
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What we have learnt
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What we have learnt
Perturbation theory is remarkably reliable
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What we have learnt
Perturbation theory is remarkably reliable
Outside the region of strong interactions
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-We know of no reason for this remarkable validity
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Dysons argument:
An n(2n 1)!!
Perturbation theory breaks down when An An+1
2n + 1 1
For QED n >> 1 ; For QCD ???
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I want to exploit this experimental fact and argue that the
available precision tests of the Standard Model allow us toclaim with reasonable confidence that new physics will beunravelled at the LHC.The argument assumes the validity of perturbation theoryand it will fail if the latter fails. But, as we just saw,
perturbation theory breaks down only when stronginteractions become important. But new strong interactionsimply new physics.
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Precision measurements at one energy scale
allow us to guess New Physics at the next scale
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EXAMPLES:
1) Yukawas prediction of the meson.
The Physics was accurate, the details were not
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EXAMPLES:
1) Yukawas prediction of the meson.
The Physics was accurate, the details were not
2) Tinis work of the 60s gave us:-The neutral currents-The W bosons-.......
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In the same way New Physics may be
predicted for LHC
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M j k f T d LHC
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Major task of Tevatron and LHC
Study the Higgs sector of the theory.
m2H g2 m2W
0 < < 1
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M j k f T d LHC
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Major task of Tevatron and LHC
Study the Higgs sector of the theory.
Limits on the Standard Model Higgs mass:
1) mH 114 GeV (Exp.)2) mH 200 GeV (From global fit)
3) mH O(1TeV) (Validity of perturbation)
4) mH O(130GeV) (Vacuum stability)
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m2
H
ddt =
342
[2 + 3h2t 9h4t + ...]
p. 29/47
V lidit f t b ti
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Validity of perturbation
The Landau pole does not occur up to
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V lidit f t b ti
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Validity of perturbation
The Landau pole does not occur up to
1T eV mH 0.8T eV
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V lidit f t b ti
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Validity of perturbation
The Landau pole does not occur up to
1T eV mH 0.8T eV
1016GeV mH 180GeV
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V t bilit
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Vacuum stability
> 0
for 1016GeV
mH 130GeV
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Can we predict the value of the Higgs mass in the Standard
Model?(No New Physics assumed!)
mZ/mH = C (3)
C = mZmH
=g2
1 +g22
8(4)
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162g1 = g31 110
162g2 = g3243
6
162 = 122
9
5
g21
9g22 +27
100
g41 +9
10
g21g22 +
9
4
g42
(5)
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z = 1 + 2 =
=w
162z
27
1002 +
9
10 +
9
4
z2
22 +
54
5 16
3
z
+12( + 1)2
1 =g21
; 2 =g22
; z = 1 + 2 ; =1
2; w = 12
z has no zeroes for z > 0
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P ibl (P di t bl ) LHC R lt
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Possible (Predictable) LHC Results
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Possible (Predictable) LHC Results
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Possible (Predictable) LHC Results
1) A Light Higgs is found
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Possible (Predictable) LHC Results
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Possible (Predictable) LHC Results
1) A Light Higgs is found
The Standard Model is complete
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Possible (Predictable) LHC Results
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Possible (Predictable) LHC Results
1) A Light Higgs is found
The Standard Model is complete
No new Strong Interactions
Perturbation theory is reliable
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Possible (Predictable) LHC Results
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Possible (Predictable) LHC Results
1) A Light Higgs is found
The Standard Model is complete
No new Strong Interactions
Perturbation theory is reliable
m2H M2
Hierarchy, or Fine tuning
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Possible (Predictable) LHC Results
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Possible (Predictable) LHC Results
2) A Light Higgs is NOT found
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Possible (Predictable) LHC Results
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Possible (Predictable) LHC Results
2) A Light Higgs is NOT found
Perturbation theory breaks down
New Strong Interactions
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Possible (Predictable) LHC Results
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Possible (Predictable) LHC Results
THE ABSENCE OF A LIGHT HIGGS
IMPLIES NEW PHYSICS
BUT A LIGHT HIGGS IS UNSTABLE
WITHOUT NEW PHYSICS
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CONCLUSIONS
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CONCLUSIONS
THE TIME FOR SPECULATIONS WILL BE SOON OVER!
L.H.C. IS WORKING
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CONCLUSIONS
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CONCLUSIONS
THE TIME FOR SPECULATIONS WILL BE SOON OVER!
L.H.C. IS WORKING
THE COMPUTATION OF THE RADIATIVE CORRECTIONS
IS THE MOST URGENT THEORETICAL TASK
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CONCLUSIONS
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CONCLUSIONS
THE TIME FOR SPECULATIONS WILL BE SOON OVER!
L.H.C. IS WORKING
THE COMPUTATION OF THE RADIATIVE CORRECTIONS
IS THE MOST URGENT THEORETICAL TASK
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CONCLUSIONS
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CONCLUSIONS
TINI CANNOT RETIRE
NEVER BEFORE AN EXPERIMENTAL FACILITY WASLOADED WITH SO GREAT EXPECTATIONS