A pitfall in applying non-anticommuting γ₅ in qq → ZH amplitudes

2021/10/08 by Taushif Ahmed, Ahmed, Taushif
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Algorithm #Amplitude #Black Holes and Theoretical Physics #Computation #Distributed and Parallel Computing Systems #FOS: Physical sciences #Feynman diagram #Feynman graph #Feynman integral #Higgs boson #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Lagrangian #Mathematical physics #Mathematics #Operator (biology) #Overline #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum chromodynamics #Quantum mechanics #Theoretical physics #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.2110.03835

published in arXiv (Cornell University) (Cornell University) · Contribution to the 15th International Symposium on Radiative Corrections (RADCOR) and the XIX Workshop on Radiative Corrections for the LHC and Future Colliders (LoopFest)

arxiv created 2021/10/08 · openalex publication_date 2021/10/08 · arxiv updated 2021/10/11 · openalex created_date 2022/07/25 · openalex updated_date 2026/08/06

Abstract

In computing the two-loop QCD corrections to a class of Feynman diagrams for the process qq → ZH in Higgs effective field theory, we discover a striking phenomenon. We find the need for an additional local composite operator in the renormalised Lagrangian while employing a non-anticommuting γ₅ in dimensional regularisation. The computation using anticommuting γ₅, however, does not require any such amendment.

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