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, HCM City, Vietnam



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


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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How to Cite

Phan, K. H., & Tran, D. T. (2021). One-loop Form Factors for \(H\rightarrow \gamma^*\gamma^*\) in \(R_{\xi}\) Gauge. Communications in Physics, 32(1).