Structure-dependent QED effects in exclusive B-meson decays

Böer, Philipp; Feldmann, Thorsten

doi:10.1140/epjs/s11734-024-01091-9

Eur. Phys. J. Spec. Top.

2024

DOI: 10.1140/epjs/s11734-024-01091-9

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Structure-dependent QED effects in exclusive B-meson decays

Philipp Böer,

Thorsten Feldmann

Abstract: We review recent progress in the computation of structure-dependent QED corrections to exclusive B decays in the factorization approach.

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Structure-dependent QED in $$ {B}^{-}\to {\ell}^{-}\overline{\nu}\left(\gamma \right) $$

Rowe,

Zwicky

2024

J. High Energ. Phys.

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Based on explicitly gauge invariant interpolating operators we compute complete next-leading order QED-corrections for leptonic decays. These are sizeable since the helicity-suppression in V-A interactions allows for structure-dependent collinear logs. We have explicitly checked that these logs are absent for helicity-unsuppressed Yukawa-type transitions. Based on B → γ form factors we present the rates for $$ {B}^{-}\to \left({\mu}^{-},{\tau}^{-}\right)\overline{\nu}\left(\gamma \right) $$ B − → μ − τ − ν ¯ γ in differential and integrated form as a function of the photon energy cut-off $$ {E}_{\gamma}^{\textrm{cut}} $$ E γ cut . The effect of the virtual structure-dependent corrections are approximately +5% and +3% for the μ- and τ-channel respectively. The structure dependence of the real radiation exceeds that of the virtual one for $$ {\left.{E}_{\gamma}^{\textrm{cut}}\right|}_{\mu } $$ E γ cut μ > 0.18(3) GeV and is subdominant for the tau channel even when fully inclusive.

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Structure-dependent QED in $$ {B}^{-}\to {\ell}^{-}\overline{\nu}\left(\gamma \right) $$

Rowe,

Zwicky

2024

J. High Energ. Phys.

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Renormalization-Group Evolution for the Three-Particle B -Meson Soft Function

Huang,

Ji,

Shen

et al. 2024

Phys. Rev. Lett.

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We determine for the first time the renormalization-group equation for the three-particle B-meson soft function dictating the nonperturbative strong interaction dynamics of the long-distance penguin contributions to the double radiative B-meson decays. The distinctive feature of the ultraviolet renormalization of this fundamental soft function consists in the pattern of mixing positive into negative support for an arbitrary initial condition. The exact solution to this integrodifferential evolution equation is then derived with the Laplace transform technique, allowing for the model-independent extraction of the asymptotic behavior at large and small partonic momenta. Published by the American Physical Society 2024

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b-Quark physics as a precision laboratory: a collection of articles on the present status and future prospects

Mandal,

Ananthanarayan,

Wyler

2024

Eur. Phys. J. Spec. Top.

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Structure-dependent QED effects in exclusive B-meson decays

Abstract: We review recent progress in the computation of structure-dependent QED corrections to exclusive B decays in the factorization approach.

Cited by 3 publications

References 69 publications

Structure-dependent QED in $$ {B}^{-}\to {\ell}^{-}\overline{\nu}\left(\gamma \right) $$

Structure-dependent QED in $$ {B}^{-}\to {\ell}^{-}\overline{\nu}\left(\gamma \right) $$

Renormalization-Group Evolution for the Three-Particle B -Meson Soft Function

b-Quark physics as a precision laboratory: a collection of articles on the present status and future prospects

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