Dispersion theoretic calculation of the $H\to Z+\gamma$ amplitude

Abstract

We have calculated the $W$-loop contribution to the amplitude of the decay $H\to Z+\gamma$ in two different methods: 1) in the $R_{\xi }$-gauge using dimensional regularization (DimReg), and 2) in the unitary gauge through the dispersion method. Using the dispersion method we have followed two approaches: i) without subtraction and ii) with subtraction, the subtraction constant being determined adopting the Goldstone boson equivalence theorem (GBET) at the limit $M_W\to 0$. The results of the calculations in $R_{\xi }$-gauge with DimReg and the dispersion method with the GBET completely coincide, which shows that DimReg is compatible with the dispersion method obeying the GBET.

arXiv comment16 pages with 15 figures, changes in Sec. IVB, references added

References in corpus (17)

• Automatized One-Loop Calculations in 4 and D dimensions
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• New Developments in FeynCalc 9.0
• Package-X: A Mathematica package for the analytic calculation of one-loop integrals
• Direct extraction of one-loop integral coefficients
• On-Shell Methods in Perturbative QCD
• A Numerical Unitarity Formalism for Evaluating One-Loop Amplitudes
• D-dimensional unitarity cut method
• Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes
• FeynHelpers: Connecting FeynCalc to FIRE and Package-X
• Analytic Structure of Three-Mass Triangle Coefficients
• Renormalization of Massless Feynman Amplitudes in Configuration Space
• Higgs boson decay to two photons and the dispersion relations
• Tutorial on loop integrals which need regularisation but yield finite results
• Once more on the W-loop contribution to the Higgs decay into two photons
• Higgs decay into two photons, dispersion relations and trace anomaly

Cited by in corpus (9)

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• Higgs boson to $\gamma Z$ decay as a probe of flavour changing neutral Yukawa couplings
• Production of dileptonic bound states in the Higgs boson decay
• Diphoton decay of the higgs from the Epstein--Glaser viewpoint
• Hypergeometric presentation for one-loop contributing to $H\to Z\gamma$
• Divergences in the effective loop interaction of the Chern-Simons bosons with leptons. The unitary gauge case
• The dispersion method and dimensional regularization applied to the decay $H\to Z\gamma$
• Rare Higgs Decay into a Photon and a Z Boson in Radiatively-Driven Natural Supersymmetry