Computation of $H\to gg$ in FDH and DRED: renormalization, operator mixing, and explicit two-loop results

Abstract

The $H\to gg$ amplitude relevant for Higgs production via gluon fusion is computed in the four-dimensional helicity scheme (FDH) and in dimensional reduction (DRED) at the two-loop level. The required renormalization is developed and described in detail, including the treatment of evanescent $\epsilon$-scalar contributions. In FDH and DRED there are additional dimension-5 operators generating the $Hgg$ vertices, where $g$ can either be a gluon or an $\epsilon$-scalar. An appropriate operator basis is given and the operator mixing through renormalization is described. The results of the present paper provide building blocks for further computations, and they allow to complete the study of the infrared divergence structure of two-loop amplitudes in FDH and DRED.

References in corpus (13)

• Algorithm FIRE -- Feynman Integral REduction
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Quark and gluon form factors to three loops
• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• Four-loop beta function and mass anomalous dimension in Dimensional Reduction
• The two-loop QCD amplitude gg -> h,H in the Minimal Supersymmetric Standard Model
• A four-dimensional approach to quantum field theories
• Using Dimensional Reduction for Hadronic Collisions
• Dimensional Reduction applied to QCD at three loops
• Systematic Implementation of Implicit Regularization for Multi-Loop Feynman Diagrams
• SCET approach to regularization-scheme dependence of QCD amplitudes
• (Un)determined finite regularization dependent quantum corrections: the Higgs decay into two photons and the two photon scattering examples
• The Infrared Structure of QCD Amplitudes and $H\to gg$ in FDH and DRED

Cited by in corpus (13)

• To $d$, or not to $d$: Recent developments and comparisons of regularization schemes
• May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
• Dimensional Regularization and Breitenlohner-Maison / 't Hooft-Veltman Scheme for ${\gamma }_5$ applied to Chiral YM Theories: Full One-Loop Counterterm and RGE Structure
• SCET approach to regularization-scheme dependence of QCD amplitudes
• Squark production in R-symmetric SUSY with Dirac gluinos: NLO corrections
• ${\gamma }_5$ in FDH
• Two-loop off-shell QCD amplitudes in FDR
• Three-loop MSSM Higgs-Boson Mass Predictions and Regularization by Dimensional Reduction
• Regularization-scheme dependence of QCD amplitudes in the massive case
• Two-loop renormalisation of gauge theories in $4D$ Implicit Regularisation and connections to dimensional methods
• Renormalisation Group Equations for BRST-Restored Chiral Theory in Dimensional Renormalisation: Application to Two-Loop Chiral-QED
• Higgs boson decay into gluons in a 4D regularization: IR cancellation without evanescent fields to NLO
• Dimensional schemes for cross sections at NNLO