Form Factors for $B_c^*\to η_c+lν_l$ at NLO in QCD

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Main Authors: Tao, Wei, Zhao, Ya-Hui, Wang, Li-Ting, Chang, Qin, Xiao, Zhen-Jun
Format: Preprint
Published: 2025
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author Tao, Wei
Zhao, Ya-Hui
Wang, Li-Ting
Chang, Qin
Xiao, Zhen-Jun
author_facet Tao, Wei
Zhao, Ya-Hui
Wang, Li-Ting
Chang, Qin
Xiao, Zhen-Jun
contents We present the Non-Relativistic QCD (NRQCD) calculations at the next-to-leading order (NLO) of $α_s$ for $B_c^*\to η_c$ vector, axial-vector, tensor and axial-tensor form factors, and obtain complete analytical expressions for the form factors, along with their asymptotic forms in the hierarchical heavy quark limit. Our results show that the NLO corrections are both sizable and well-behaved in the low squared transfer momentum $(q^2)$ region. Using the NRQCD + lattice + $z$-series method, we further provide theoretical predictions for $B_c^*\to η_c$ form factors across the full physical $q^2$ range. Based on these predicted form factors, we finally compute the decay widths and branching fractions for the semileptonic decays $B_c^*\to η_c+l{ν_l}$.
format Preprint
id arxiv_https___arxiv_org_abs_2505_20682
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Form Factors for $B_c^*\to η_c+lν_l$ at NLO in QCD
Tao, Wei
Zhao, Ya-Hui
Wang, Li-Ting
Chang, Qin
Xiao, Zhen-Jun
High Energy Physics - Phenomenology
We present the Non-Relativistic QCD (NRQCD) calculations at the next-to-leading order (NLO) of $α_s$ for $B_c^*\to η_c$ vector, axial-vector, tensor and axial-tensor form factors, and obtain complete analytical expressions for the form factors, along with their asymptotic forms in the hierarchical heavy quark limit. Our results show that the NLO corrections are both sizable and well-behaved in the low squared transfer momentum $(q^2)$ region. Using the NRQCD + lattice + $z$-series method, we further provide theoretical predictions for $B_c^*\to η_c$ form factors across the full physical $q^2$ range. Based on these predicted form factors, we finally compute the decay widths and branching fractions for the semileptonic decays $B_c^*\to η_c+l{ν_l}$.
title Form Factors for $B_c^*\to η_c+lν_l$ at NLO in QCD
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2505.20682