One-loop gauge boson contributions to decays \(h\to e_a e_b\) in the general gauge \(\text{R}_\xi\)
DOI:
https://doi.org/10.56764/hpu2.jos.2026.5.01.3-13Abstract
Analytic formulas to express one-loop contributions to lepton flavor violating decays of the Standard Model-like Higgs boson \(h\to e^\pm_a e^\mp_b\) are calculated in the general gauge \(\text{R}_\xi\) for the general seesaw version of the Standard Model. The calculation is performed using the Passarino-Veltman functions, which include various well-known relations useful for analytic transformations. This calculation also requires precise forms of the couplings of the Goldstone boson of \(\text{W}^\pm\), which are model-dependent. We demonstrate analytically that the final result is gauge-independent, namely, the free unphysical parameter \(\xi\) of the \(\text{R}_\xi\) gauge vanishes completely. Moreover, the resulting decay amplitude is consistent with those previously calculated in different gauges, including the unitary gauge.
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Copyright (c) 2026 Tho-Hue Le, Thi-Tham Nguyen , Thi-Hong Trinh, Thanh-Nha Nguyen Hua
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