The<i>γγ</i>decay of the Higgs boson in FDR

Donati, Alice; Pittau, R.

doi:10.1051/epjconf/20136012014

Cited by 5 publications

(13 citation statements)

References 33 publications

(37 reference statements)

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“…[4,5]. Among the follow up computations [6][7][8][9][10][11][12][13], only Ref. [13] agreed with the findings of Refs.…”

Section: Introductionsupporting

confidence: 79%

“…The decay rate of the Higgs boson to two photons through the W -loop was computed in the literature at least thirteen times [1][2][3][4][5][6][7][8][9][10][11][12][13]. The recent flurry of activity around this process, important for understanding Higgs boson properties, was caused by the fact that the original computations of the H → γγ decay rate [1][2][3], performed almost forty years ago, were challenged in Refs.…”

Section: Introductionmentioning

confidence: 99%

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Higgs boson decay to two photons and dispersion relations

Melnikov

Vainshtein

2016

Phys. Rev. D

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We discuss the computation of the Higgs boson decay amplitude to two photons through the W -loop using dispersion relations. The imaginary part of the form factor FW (s) that parametrizes this decay is unambiguous in four dimensions. When it is used to calculate the unsubtracted dispersion integral, the finite result for the form factor FW (s) is obtained. However, the FW (s) obtained in this way differs by a constant term from the result of a diagrammatic computation, based on dimensional regularization. It is easy to accommodate the missing constant by writing a once-subtracted dispersion relation for FW (s) but it is unclear why the subtraction needs to be done. The goal of this paper is to investigate this question in detail. We show that the correct constant can be recovered within a dispersive approach in a number of ways that, however, either require an introduction of an ultraviolet regulator or unphysical degrees of freedom; unregulated and unsubtracted computations in the unitary gauge are insufficient, in spite of the fact that such computations give a finite result.PACS numbers:

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“…[4,5]. Among the follow up computations [6][7][8][9][10][11][12][13], only Ref. [13] agreed with the findings of Refs.…”

Section: Introductionsupporting

confidence: 79%

Section: Introductionmentioning

confidence: 99%

Higgs boson decay to two photons and dispersion relations

Melnikov

Vainshtein

2016

Phys. Rev. D

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“…The new regularization is advantageous in special loop-calculations where one wants to remain in four dimensions, keep the cutoff of the model, like in effective theories, in derivation of renormalization group equations, in extra dimensional scenarios or in models explicitly depending on the space-time dimensions, like supersymmetric theories. Similar approaches succeeded in the calculation of the anomalous decay of the Higgs boson to two photons in four dimensions, where gauge invariance is crucial [46,47]. We argue that the method can be successfully used in higher order calculations containing terms up to quadratic divergences in (non-Abelian) gauge theories, as it allows for shifts in the loop momenta, which guarantees the 't Hooft identity [21,48].…”

Section: Discussionmentioning

confidence: 88%

Cutoff Regularization Method in Gauge Theories

Cynolter¹,

Lendvai²

2015

Preprint

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In quantum field theories divergences generally turn up in loop calculations. Renormalization is a part of the theory which can be performed only with a proper regularization. In low energy effective theories there is a natural cutoff with well defined physical meaning, but the naive cutoff regularization is unsatisfactory. A Lorentz and gauge symmetry preserving regularization method is discussed in four dimension based on momentum cutoff. First we give an overview of various regularization methods then the new regularization is introduced. We use the conditions of gauge invariance or equivalently the freedom of shift of the loop momentum to define the evaluation of the terms carrying even number of Lorentz indices, e.g. proportional to k µ k ν . The remaining scalar integrals are calculated with a four dimensional momentum cutoff. The finite terms (independent of the cutoff) are free of ambiguities coming from subtractions in non-trivial cases. Finite parts of the result are equal with the results of dimensional regularization. The proposed method can be applied to various physical processes where the use of dimensional regularization is subtle or a physical cutoff is present. As a famous example it is shown that the triangle anomaly can be calculated unambiguously with this new improved cutoff. The anticommutator of γ 5 and γ µ multiplied by five γ matrices is proportional to terms that do not vanish under a divergent loop-momentum integral, but cancel otherwise.

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“…The former can be identified as part of J V and be dropped, the latter as part of J F and be evaluated in four dimensions. 8 In this way, the UV divergencies contained in I DR are traded in for IR divergencies related to vanishing µ.…”

Section: The Fdr Integralmentioning

confidence: 99%

“…Throughout this paper we pursue the latter approach. 8 The language used here and around Eq. (3) holds strictly only for the one-loop case.…”

Section: The Fdr Integralmentioning

confidence: 99%

Numerical evaluation of two-loop integrals in FDR

Zirke

2016

J. High Energ. Phys.

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We present a method to numerically evaluate infrared-finite one-and two-loop integrals within the Four-Dimensional Regularization/Renormalization approach, in which a small mass serves as regulator. Typical integrals exhibit a logarithmic dependence on this mass, which we extract with the aid of suitable subtraction terms that can easily be integrated analytically until the logarithmic structure is revealed. As first physical applications to test the method, we calculate QCD corrections to the decay rates of scalar and pseudoscalar Higgs bosons into two photons in the limit of an infinite top-quark mass as well as to the ρ parameter.

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Theγγdecay of the Higgs boson in FDR

Cited by 5 publications

References 33 publications

Higgs boson decay to two photons and dispersion relations

Higgs boson decay to two photons and dispersion relations

Cutoff Regularization Method in Gauge Theories

Numerical evaluation of two-loop integrals in FDR

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