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Perturbative calculations for standard model precision physics : Higgs production and Yang-Mills gradient flow / Tobias Neumann. Wuppertal, 2015
Content
Contents
I Introductory part
1 Elements of the Standard Model
1.1 Electroweak and Higgs physics
Higgs Off-shell effects.
Vacuum stability.
1.2 Effective field theories
1.3 Quantum chromodynamics
Low energies.
Strong coupling as.
1.4 Perturbative calculations in .9plus.9minus.910.95.9QCD
II Top mass effects in differential and exclusive Higgs production through gluon fusion
2 Introduction to gluon fusion
2.1 Gluon fusion from the beginning
2.2 Recent advancements
2.3 Mass effects in H+jet+X at (N)LO
3 Calculation and setup
Partonic contributions.
4 Results and discussion
4.1 Input parameters and notation
Notation
4.2 Jet-veto at .9plus.9minus.910.95.9NNLO
4.2.1 Other approximations
4.3 Inclusive Higgs+jet at .9plus.9minus.910.95.9NLO
4.4 Distributions of the hardest jet at .9plus.9minus.910.95.9NLO
5 Summary
III Probing the Higgs-gluon coupling
6 Introduction to the Higgs-gluon coupling
7 Basis of dimension-7 operators and their implementation
Standard Model matching.
Pseudoscalar operators.
Implementation.
8 Kinematical Distributions
8.1 Higgs+1-jet cross sections
8.2 Higgs+2-jet cross sections
8.3 Higher order suppressed terms
9 Conclusions
Closing remarks.
IV The perturbative QCD gradient flow to three loops
10 Introduction to perturbative gradient flow
10.1 Formalism
11 Calculation of the action density
11.1 Analytical calculation of flowtime integrals
Direct integration over flowtimes.
Two-loop example.
Integration by parts.
Mellin-Barnes integration.
11.2 Numerical evaluation of the perturbative series
Non-linear transformations.
Remarks on numerical integration.
11.3 Validation of the calculation
Lower order results.
Renormalization: Subtraction of UV-poles.
Two-loop gluon propagator.
Derivatives in the flowtime.
Gauge parameter independence.
12 Results and discussion
12.1 Perturbative uncertainty of t2"4360360 E(t)"5365365
12.2 Extraction of as
12.3 Summary and outlook
Appendix
A Documentation of the gradient flow setup
A.1 Generation of momentum integrals
A.1.1 Expansion in fundamental gauge fields
A.1.2 Simplifications and reductions
Wick and other contractions
Cancellation of numerators with propagators
Canonicalization and scaleless integrals
Checking variable name permutations
A.1.3 Integration by parts
A.2 Schwinger parameter representation and sector decomposition
A.3 Global structure of the setup
B Numerical integration
C Normalization factors for kinematical distributions in chapter 8
Publications
Bibliography
Danksagung