Mixed QCD-EW corrections for Higgs leptonic decay via HW+W− vertex

Ma, Chichuan; Wang, Yuxuan; Xu, Xiaofeng; Yang, Li Lin; Zhou, Bin

doi:10.1007/jhep09(2021)114

Cited by 10 publications

(8 citation statements)

References 55 publications

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“…7 In doing so we move from complicated functions with relatively simple branch cut structures, to simple functions with complicated branch cut structures. Consequently, the representation of a given MPL in terms of polylogs 5 We note that the MIs for the B-type basis, including the additional MIs (4.7), were also recently computed in [58] in the context of mixed QCD-EW corrections to the HW + W − vertex. 6 There is no need to discuss the renormalisation of overall local 1/ 2 UV and 1/ UV terms due to the three operators coinciding as they are free of discontinuities in p 2 B .…”

Section: Jhep12(2021)008mentioning

confidence: 99%

Charged and neutral $$ {\overline{B}}_{u,d,s} $$ → γ form factors from light cone sum rules at NLO

Janowski

Pullin

Zwicky

2021

J. High Energ. Phys.

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We present the first analytic $$ \mathcal{O}\left({\alpha}_s\right) $$ O α s -computation at twist-1,2 of the $$ {\overline{B}}_{u,d,s} $$ B ¯ u , d , s → γ form factors within the framework of sum rules on the light-cone. These form factors describe the charged decay $$ {\overline{B}}_u\to \gamma {\mathrm{\ell}}^{-}\overline{v} $$ B ¯ u → γ ℓ − v ¯ , contribute to the flavour changing neutral currents $$ {\overline{B}}_{d,s}\to \gamma {\mathrm{\ell}}^{+}{\mathrm{\ell}}^{-} $$ B ¯ d , s → γ ℓ + ℓ − and serve as inputs to more complicated processes. We provide a fit in terms of a z-expansion with correlation matrix and extrapolate the form factors to the kinematic endpoint by using the gBB*γ couplings as a constraint. Analytic results are available in terms of multiple polylogarithms in the supplementary material. We give binned predictions for the $$ {\overline{B}}_u\to \gamma {\mathrm{\ell}}^{-}\overline{v} $$ B ¯ u → γ ℓ − v ¯ branching ratio along with the associated correlation matrix. By comparing with three SCET-computations we extract the inverse moment B-meson distribution amplitude parameter λB = 360(110) MeV. The uncertainty thereof could be improved by a more dedicated analysis. In passing, we extend the photon distribution amplitude to include quark mass corrections with a prescription for the magnetic vacuum susceptibility, χq, compatible with the twist-expansion. The values χq = 3.21(15) GeV−2 and χs = 3.79(17) GeV−2 are obtained.

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Section: Jhep12(2021)008mentioning

confidence: 99%

Charged and neutral $$ {\overline{B}}_{u,d,s} $$ → γ form factors from light cone sum rules at NLO

Janowski

Pullin

Zwicky

2021

J. High Energ. Phys.

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“…The diagram is depicted in figure 5, where all external momenta are outgoing. The propagator This family is relevant to the HW + W − vertex in the standard model [89,90]. There are 38 MIs in 24 unique sectors.…”

Section: The Two-loop Triangle Family Relevant To the Hw + W − Vertexmentioning

confidence: 99%

Baikov representations, intersection theory, and canonical Feynman integrals

Chen

Jiang

et al. 2022

J. High Energ. Phys.

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The method of canonical differential equations is an important tool in the calculation of Feynman integrals in quantum field theories. It has been realized that the canonical bases are closely related to d-dimensional d log-form integrands. In this work, we explore the generalized loop-by-loop Baikov representation, and clarify its relation and difference with Feynman integrals using the language of intersection theory. We then utilize the generalized Baikov representation to construct d-dimensional d log-form integrands, and discuss how to convert them to Feynman integrals. We describe the technical details of our method, in particular how to deal with the difficulties encountered in the construction procedure. Our method provides a constructive approach to the problem of finding canonical bases of Feynman integrals, and we demonstrate its applicability to complicated scattering amplitudes involving multiple physical scales.

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“…where the external momenta p 1 and p 2 satisfy This family is relevant to the HW + W − vertex in the standard model [89,90]. There are 38 MIs in 24 unique sectors.…”

Section: Massless Double Boxmentioning

confidence: 99%

Baikov representations, intersection theory, and canonical Feynman integrals

Chen¹,

Jiang²,

Ma³

et al. 2022

Preprint

Self Cite

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The method of canonical differential equations is an important tool in the calculation of Feynman integrals in quantum field theories. It has been realized that the canonical bases are closely related to d-dimensional d log-form integrands. In this work, we introduce the concept of generalized loop-by-loop Baikov representation, and clarify its relation and difference with Feynman integrals using the language of intersection theory. We then utilize the generalized Baikov representation to construct d-dimensional d logform integrands, and discuss how to convert them to Feynman integrals. We describe the technical details of our method, in particular how to deal with the difficulties encountered in the construction procedure. Our method provides a constructive approach to the problem of finding canonical bases of Feynman integrals, and we demonstrate its applicability to complicated scattering amplitudes involving multiple physical scales.

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Mixed QCD-EW corrections for Higgs leptonic decay via HW+W− vertex

Cited by 10 publications

References 55 publications

Charged and neutral $$ {\overline{B}}_{u,d,s} $$ → γ form factors from light cone sum rules at NLO

Charged and neutral $$ {\overline{B}}_{u,d,s} $$ → γ form factors from light cone sum rules at NLO

Baikov representations, intersection theory, and canonical Feynman integrals

Baikov representations, intersection theory, and canonical Feynman integrals

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