MSSM higgs production via gluon-fusion : NLO SUSY-QCD corrections

Abstract

Contents
1 Introduction 1
1.1 Supersymmetry..................................................................................................... 3
1.1.1 Spinor Notation........................................................................................ 3
1.1.2 Superfields................................................................................................. 4
1.1.3 Constructing a SUSY Lagrangian......................................................... 5
1.1.4 MSSM Lagrangian.................................................................................. 7
1.1.5 Higgs sector.............................................................................................. 8
1.1.6 Squark sector at LO............................................................................... 9
1.2 Higgs bosons at the LHC..................................................................................... 11
2 Calculation 15
2.1 Gamma 5 in D Dimensions................................................................................. 18
2.1.1 The BMHV Scheme.................................................................................. 20
2.1.2 The Larin Scheme ................................................................................. 21
2.1.3 The Kreimer Scheme.............................................................................. 22
2.2 Low Energy Effective Theory ........................................................................... 22
2.3 Adler-Bardeen Theorem..................................................................................... 24
2.4 Benchmark Scenario and Renormalization Scheme......................................... 29
2.5 Counterterms........................................................................................................ 31
3 Numerical Methods 35
3.1 Feynman Parametrization................................................................................. 35
3.2 UV Singularities.................................................................................................... 37
3.3 Threshold Singularities........................................................................................ 38
3.4 Power Reduction Using IntegrationBy Parts.................................................... 40
3.4.1 General Method........................................................................................ 41
3.4.2 Determining the Polynomials ............................................................... 42
3.4.3 Single Feynman Parameter..................................................................... 43
3.4.4 Simple Example........................................................................................ 44
3.5 RichardsonExtrapolation ................................................................................... 46
3.6 Example................................................................................................................. 48
4 Results and Conclusion 55
4.1 Results.................................................................................................................... 55
4.2 Conclusions......................................................................................