Calculation of the One W Loop $H\to \gamma \gamma$ Decay Amplitude with a Lattice Regulator

Abstract

There has been a controversial recent claim that the standard result on the Higgs to two photon decay rate is incorrect, with the use of dimensional regularization fingered as the alleged culprit. Given the great importance of the $H\to \gamma \gamma$ process as a possible Standard Model Higgs discovery channel at the LHC if the Higgs mass is light, it is critical to find a way to check the correctness of the results of dimensional regularization for this process. Here we report the results of a perturbative calculation of the $H\to \gamma \gamma$ decay amplitude using a spacetime lattice as a UV regulator, which is the only known gauge-invariant regulator for non-Abelian gauge theories other than dimensional regularization. We find that the decay amplitude calculated using lattice-regularized perturbation theory is consistent to very high statistical accuracy with the decay amplitude obtained using dimensional regularization.

5 pages, 4 figures

References in corpus (7)

• Higgs Decay to Two Photons
• Higgs Decay into Two Photons through the W-boson Loop: No Decoupling in the m_W --> 0 Limit
• Note on Higgs Decay into Two Photons $H\to \gamma \gamma$
• Automatically generating Feynman rules for improved lattice field theories
• Leptonic widths of heavy quarkonia: S-Wave QCD/NRQCD matching coefficients for the electromagnetic vector annihilation current at O(alpha_s v^2)
• Reduction Schemes in Cutoff Regularization and Higgs Decay into Two Photons
• Higgs searches at CMS

Cited by in corpus (7)

• The decay $h\to \gamma \gamma$ in the Standard-Model Effective Field Theory
• Gauge invariance at work in FDR: H -> gamma gamma
• (Un)determined finite regularization dependent quantum corrections: the Higgs decay into two photons and the two photon scattering examples
• Higgs boson decay to two photons and the dispersion relations
• Once more on the Higgs decay into two photons
• H -> gamma gamma: a Comment on the Indeterminacy of Non-Gauge-Invariant Integrals
• The $\gamma \gamma$ decay of the Higgs boson in FDR