Open AccessOne-loop Form Factors for \(H\rightarrow \gamma^*\gamma^*\) in \(R_{\xi}\) Gauge
Author(s) -
Khiem Hong Phan,
Dzung Tri Tran
Publication year - 2022
Publication title -
communications in physics/communications in physics
Language(s) - English
Resource type - Journals
eISSN - 2815-5947
pISSN - 0868-3166
DOI - 10.15625/0868-3166/16022
Subject(s) - physics , scalar (mathematics) , loop (graph theory) , photon , shell (structure) , gauge (firearms) , standard model (mathematical formulation) , computation , feynman graph , particle physics , mathematical physics , quantum mechanics , combinatorics , mathematics , algorithm , geometry , materials science , archaeology , composite material , history
In this paper, we present general one-loop form factors for \(H\rightarrow \gamma^* \gamma^*\) in \(R_{\xi}\) gauge, considering all cases of two on-shell, one on-shell and two off-shell for final photons. The calculations are performed in standard model and in arbitrary beyond the standard models which charged scalar particles may be exchanged in one-loop diagrams. Analytic results for the form factors are shown in general forms which are expressed in terms of the Passarino-Veltman functions. We also confirm the results in previous computations which are available for the case of two on-shell photons. The \(\xi\)-independent of the result is also discussed. We find that numerical results are good stability with varying \(\xi=0,1\) and \(\xi\rightarrow \infty\).