Abstract
We comment on the recently reiterated claim that the contribution of the W-boson loop to the Higgs boson decay into two photons leads to different expressions in the Rξ gauge and the unitary gauge. By applying a gauge-symmetry preserving regularization with higher-order covariant derivatives we reproduce once again the “classical” gauge-independent result.
Highlights
; The original calculations of the W-boson loop contribution to the Higgs boson decay into two photons [1,2,3] have been challenged in Refs. [4,5,6]
Note that while we explicitely worked in D dimensions, one can do the algebra in four space-time dimensions which amounts to setting D = 4
The problem is not with the unitary and Rξ gauges leading to different results, but rather the result being dependent on the way we calculate the divergent integrals
Summary
; The original calculations of the W-boson loop contribution to the Higgs boson decay into two photons [1,2,3] have been challenged in Refs. [4,5,6]. The problem with the finite loop integral in Eq (1) is that it is a difference of two logarithmically divergent integrals and cannot be calculated without regularization The problem is not with the unitary and Rξ gauges leading to different results, but rather the result being dependent on the way we calculate the divergent integrals.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
