Anatomy of Higgs boson decays into 
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 and 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>γ</mml:mi><mml:mi>Z</mml:mi></mml:math>
 within the electroweak chiral Lagrangian in the 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>R</mml:mi><mml:mi>ξ</mml:mi></mml:msub></mml:math>
 gauges

Herrero, M. J.; Morales, Ramón

doi:10.1103/physrevd.102.075040

Cited by 17 publications

(3 citation statements)

References 49 publications

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“…The closest comparison of our results in the present work is with our own previous results in [32]. In that paper we also worked with the EChL in the R ξ gauges but focused exclusively on the one-loop decay amplitudes of the Higgs boson into γγ and γZ.…”

Section: Divergent Cts For the Echl Coefficientssupporting

confidence: 77%

One-loop renormalization of VBS with the electroweak chiral Lagrangian in covariant gauges

Herrero,

Morales

2021

Preprint

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This work presents a first full one-loop computation of vector boson scattering (VBS) within the non-linear effective field theory given by the bosonic sector of the usually called electroweak chiral Lagrangian (EChL). The computation is performed in the most general case of covariant R ξ gauges and is compared through all this work with the Standard Model case, whose computation in these covariant gauges is also novel and is presented also here. The calculation of the one-loop VBS amplitude is performed using the diagrammatic method by means of the one-particle-irreducible (1PI) Green functions that are involved in these scattering processes. The central part of this work is then devoted to the renormalization of all the n-legs one-loop 1PI Green functions involved. This renormalization is performed in the most general off-shell case with arbitary external legs momenta. We then describe in full detail the renormalization program, which within this context of the EChL, implies to derive all the counterterms for both the electroweak parameters, like boson masses and gauge couplings, and those for the EChL coefficients. These later are crutial for the renormalization of the new divergences typically appearing when computing loops with the lowest chiral dimension Lagrangian. We present here the full list of involved divergences and counterterms in the R ξ gauges and derive the complete set of renormalization group equations for the EChL coefficients. In the last part of this work, we present the EChL numerical results for the one-loop cross section in the W Z channel and compare them with the SM results.

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Section: Divergent Cts For the Echl Coefficientssupporting

confidence: 77%

One-loop renormalization of VBS with the electroweak chiral Lagrangian in covariant gauges

Herrero,

Morales

2021

Preprint

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“…This fixes completely the normalization freedom in the construction of t 1 μν in the Feynman gauge. At this level there is of course coincidence with the result in [45], despite different game rules.…”

Section: Fixing the Normalization Polynomial By Agreement With The Fesupporting

confidence: 62%

Diphoton decay of the higgs from the Epstein–Glaser viewpoint

2021

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We revisit a nearly 10-year old controversy on the diphoton decay of the Higgs particle. To a large extent, the controversy turned around the respective merits of the regularization techniques employed. The novel aspect of our approach is that no regularization techniques are brought to bear: we work within the Bogoliubov–Epstein–Glaser scheme of renormalization by extension of distributions. Solving the problem actually required an expansion of this method’s toolkit, furnished in the paper.

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“…There have been many computations for one-loop contributions to the decay channel H → Zγ within standard model (SM) and its extensions in [5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] also in the references therein. In the paper Ref.…”

Section: Introductionmentioning

confidence: 99%

One-loop $W$ boson contributions to the decay $H\rightarrow Zγ$ in the general $R_ξ$ gauge

Tran¹,

Hue²,

Phan³

2021

Preprint

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One-loop W boson contributions to the decay H → Zγ in the general R ξ gauge are presented. The analytical results are expressed in terms of well-known Passarino-Veltman functions which their numerical evaluations can be generated using LoopTools. In the limit d → 4, we have shown that these analytical results are independent of the unphysical parameter ξ and consistent with previous results. The gauge parameter independence are also checked numerically for consistence. Our results are also well stable with different values of ξ = 0, 1, 100, and ξ → ∞.

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Anatomy of Higgs boson decays into γγ and γZ within the electroweak chiral Lagrangian in the Rξ gauges

Cited by 17 publications

References 49 publications

One-loop renormalization of VBS with the electroweak chiral Lagrangian in covariant gauges

One-loop renormalization of VBS with the electroweak chiral Lagrangian in covariant gauges

Diphoton decay of the higgs from the Epstein–Glaser viewpoint

One-loop $W$ boson contributions to the decay $H\rightarrow Zγ$ in the general $R_ξ$ gauge

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