Nonfactorizable charming loops in exclusive FCNC $B$ decays

Fuente: arXiv
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Autor principal: Melikhov, Dmitri
Formato: Preprint
Publicado: 2025
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author Melikhov, Dmitri
author_facet Melikhov, Dmitri
contents We compare (i) nonfactorizable charm-quark loops in exclusive FCNC B-decays and (ii) three-particle contributions to the amplitude of semileptonic B-decay. Both amplitudes are given in the heavy-quark limit, $m_b\to\infty$, by a convolution of a hard kernel and a three-particle wave function of the $B$-meson, $\langle 0|\bar q(x)G_{μν}(z) b(0)|B(p)\rangle$. An essential difference between the two amplitudes is that the amplitude of semileptonic $B$-decay involves this 3-particle wave function in a collinear light-cone configuration, whereas the amplitude of nonfactorizable charm in FCNC $B$-decays involves this 3-particle wave function in a double collinear light-cone configuration.
format Preprint
id arxiv_https___arxiv_org_abs_2508_07261
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nonfactorizable charming loops in exclusive FCNC $B$ decays
Melikhov, Dmitri
High Energy Physics - Phenomenology
We compare (i) nonfactorizable charm-quark loops in exclusive FCNC B-decays and (ii) three-particle contributions to the amplitude of semileptonic B-decay. Both amplitudes are given in the heavy-quark limit, $m_b\to\infty$, by a convolution of a hard kernel and a three-particle wave function of the $B$-meson, $\langle 0|\bar q(x)G_{μν}(z) b(0)|B(p)\rangle$. An essential difference between the two amplitudes is that the amplitude of semileptonic $B$-decay involves this 3-particle wave function in a collinear light-cone configuration, whereas the amplitude of nonfactorizable charm in FCNC $B$-decays involves this 3-particle wave function in a double collinear light-cone configuration.
title Nonfactorizable charming loops in exclusive FCNC $B$ decays
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2508.07261