Pseudo-scalar form factors at three loops in QCD View Full Text


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Article Info

DATE

2015-11-24

AUTHORS

Taushif Ahmed, Thomas Gehrmann, Prakash Mathews, Narayan Rana, V. Ravindran

ABSTRACT

The coupling of a pseudo-scalar Higgs boson to gluons is mediated through a heavy quark loop. In the limit of large quark mass, it is described by an effective Lagrangian that only admits light degrees of freedom. In this effective theory, we compute the three-loop massless QCD corrections to the form factor that describes the coupling of a pseudo-scalar Higgs boson to gluons. Due to the axial anomaly, the pseudo-scalar operator for the gluonic field strength mixes with the divergence of the axial vector current. Working in dimensional regularization and using the ’t Hooft-Veltman prescription for the axial vector current, we compute the three-loop pseudo-scalar form factors for massless quarks and gluons. Using the universal infrared factorization properties, we independently derive the three-loop operator mixing and finite operator renormalisation from the renormalisation group equation for the form factors, thereby confirming recent results in the operator product expansion. The finite part of the three-loop form factor is an important ingredient to the precise prediction of the pseudo-scalar Higgs boson production cross section at hadron colliders. We discuss potential applications and derive the hard matching coefficient in soft-collinear effective theory. More... »

PAGES

169

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  • 2001-05-14. Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-04-24. Renormalization-group improved prediction for Higgs production at hadron colliders in EUROPEAN PHYSICAL JOURNAL C
  • 2012-03-30. The three-loop form factor in super Yang-Mills in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-11-23. The quark and gluon form factors to three loops in QCD through to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{O}\left( {{\epsilon^2}} \right) $\end{document} in JOURNAL OF HIGH ENERGY PHYSICS
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    66 form factors
    67 freedom
    68 gluonic field strength
    69 gluons
    70 group equations
    71 hard matching coefficient
    72 heavy quark loops
    73 important ingredient
    74 ingredients
    75 large quark mass
    76 light degrees
    77 limit
    78 loop
    79 mass
    80 massless QCD corrections
    81 massless quarks
    82 matching coefficient
    83 mixing
    84 operator mixing
    85 operator product expansion
    86 operator renormalisation
    87 operators
    88 part
    89 potential applications
    90 precise prediction
    91 prediction
    92 prescription
    93 product expansion
    94 production cross sections
    95 properties
    96 pseudo-scalar Higgs boson
    97 pseudo-scalar Higgs boson production cross section
    98 pseudo-scalar form factor
    99 pseudo-scalar operator
    100 quark loops
    101 quark mass
    102 quarks
    103 recent results
    104 regularization
    105 renormalisation
    106 renormalisation group equations
    107 results
    108 sections
    109 soft-collinear effective theory
    110 strength
    111 theory
    112 three-loop form factors
    113 three-loop massless QCD corrections
    114 three-loop operator mixing
    115 three-loop pseudo-scalar form factors
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