Factorization of multiparticle contributions to amplitudes of B-meson weak decays
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909950218862592 |
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| author | Melikhov, Dmitri |
| author_facet | Melikhov, Dmitri |
| contents | We show that multiparticle contributions to amplitudes of weak decays of the generic topology (heavy quark hits some intermediate point of the propagator line joining the end-points from which momenta $q$ and $q'$ are emitted) is given in the heavy quark limit and at the leading order in $α_s$ by the convolution of (i) hard kernel composed of highly virtual propagators of light degrees of freedom and (ii) the $B$-meson multiparticle wave function, $\langle 0|ϕ(x)ϕ(x_1)\dotsϕ(x_n)ϕ_b(0)ϕ(x'_{n'})\dotsϕ(x'_1)ϕ(x')|B(p)\rangle$, in a {\it double-collinear} light-cone configuration: the coordinates $x,x_1,...,x_n$ are ordered and aligned along the light-like 4-vector $a_μ$, $a^2=0$, $q_μ\propto a_μ$, while the coordinates $x',x_1',...,x'_{n'}$ are ordered and aligned along the light-like 4-vector $a'_μ$, $a'^2=0$, $q'_μ\propto a'_μ$, $a'a\ne 0$. Corrections to this factorization formula are suppressed by powers of $Λ_{\rm QCD}/M_B$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_23441 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Factorization of multiparticle contributions to amplitudes of B-meson weak decays Melikhov, Dmitri High Energy Physics - Phenomenology We show that multiparticle contributions to amplitudes of weak decays of the generic topology (heavy quark hits some intermediate point of the propagator line joining the end-points from which momenta $q$ and $q'$ are emitted) is given in the heavy quark limit and at the leading order in $α_s$ by the convolution of (i) hard kernel composed of highly virtual propagators of light degrees of freedom and (ii) the $B$-meson multiparticle wave function, $\langle 0|ϕ(x)ϕ(x_1)\dotsϕ(x_n)ϕ_b(0)ϕ(x'_{n'})\dotsϕ(x'_1)ϕ(x')|B(p)\rangle$, in a {\it double-collinear} light-cone configuration: the coordinates $x,x_1,...,x_n$ are ordered and aligned along the light-like 4-vector $a_μ$, $a^2=0$, $q_μ\propto a_μ$, while the coordinates $x',x_1',...,x'_{n'}$ are ordered and aligned along the light-like 4-vector $a'_μ$, $a'^2=0$, $q'_μ\propto a'_μ$, $a'a\ne 0$. Corrections to this factorization formula are suppressed by powers of $Λ_{\rm QCD}/M_B$. |
| title | Factorization of multiparticle contributions to amplitudes of B-meson weak decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.23441 |