Vol. 32 No. 1 (2022)

One-loop Form Factors for \(H\rightarrow \gamma^*\gamma^*\) in \(R_{\xi}\) Gauge

Khiem Hong Phan
Institute of Fundamental and Applied Sciences, Duy Tan University, Ho Chi Minh City 700000, VietnamFaculty of Natural Sciences, Duy Tan University, Da Nang City 550000, Vietnam
Dzung Tri Tran
University of Science Ho Chi Minh City, 227 Nguyen Van Cu, District 5, HCM City, Vietnam; Vietnam National University Ho Chi Minh City, Linh Trung Ward, Thu Duc District, Ho Chi Minh city, Vietnam

Published 05-01-2022


  • One-loop corrections,
  • analytic methods for Quantum Field Theory,
  • Dimensional regu- larization,
  • Higgs phenomenology.

How to Cite

Phan, K. H., & Tran, D. T. (2022). One-loop Form Factors for \(H\rightarrow \gamma^*\gamma^*\) in \(R_{\xi}\) Gauge. Communications in Physics, 32(1), 77. https://doi.org/10.15625/0868-3166/16022


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 \(\xi\rightarrow \infty\).


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