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Abstract <p>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, <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(m_{b}\to\infty\)</EquationSource> <!--BPhysMGU2570235Melikhov-m3--> </InlineEquation>, by a convolution of a hard kernel and a three-particle wave function of the <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(B\)</EquationSource> <!--BPhysMGU2570235Melikhov-m4--> </InlineEquation>-meson, <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\langle 0|\bar{q}(x)G_{\mu\nu}(z)b(0)|B(p)\rangle\)</EquationSource> <!--BPhysMGU2570235Melikhov-m5--> </InlineEquation>. An essential difference between the two amplitudes is that the amplitude of semileptonic <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(B\)</EquationSource> <!--BPhysMGU2570235Melikhov-m6--> </InlineEquation>-decay involves this 3-particle wave function in a collinear light-cone configuration, whereas the amplitude of nonfactorizable charm in FCNC <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(B\)</EquationSource> <!--BPhysMGU2570235Melikhov-m7--> </InlineEquation>-decays involves this 3-particle wave function in a <i>double collinear light-cone configuration</i>.</p>

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Nonfactorizable Charming Loops in Exclusive FCNC \(\boldsymbol{B}\) Decays

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • D. I. Melikhov

摘要

Abstract

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, \(\langle 0|\bar{q}(x)G_{\mu\nu}(z)b(0)|B(p)\rangle\) . 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.