Exact calculations of vertex $\bar{s}γb$ and $\bar{s} Z b$ in the unitary gauge

dc.creatorWu, Lu-sen
dc.creatorXiao, Zhen-jun
dc.date2006-12-25
dc.date.accessioned2026-07-07T12:53:46Z
dc.date.available2026-07-07T12:53:46Z
dc.descriptionIn this paper, we present the exact calculations for the vertex $\bar{s}γb$ and $\bar{s} Z b$ in the unitary gauge. We found that (a) the divergent- and $μ$-dependent terms are left in the effective vertex function $Γ^γ_μ(p,k)$ for $b \to s γ$ transition even after we sum up the contributions from four related Feynman diagrams; (b) for an on-shell photon, such terms do not contribute et al; (c) for off-shell photon, these terms will be canceled when the contributions from both vertex $\bar{s}γb$ and $\bar{s} Z b$ are taken into account simultaneously, and therefore the finite and gauge independent function $Z_0(x_t)=C_0(x_t)+ D_0(x_t)/4$, which governs the semi-leptonic decay $b \to s l^- l^+$, is derived in the unitary gauge.
dc.description13 pages, 2 figures, Revtex
dc.identifierhttps://arxiv.org/abs/hep-ph/0612326
dc.identifierhttp://arxiv.org/abs/hep-ph/0612326
dc.identifierCommun.Theor.Phys.48:502-508,2007
dc.identifierdoi:10.1088/0253-6102/48/3/024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223735
dc.subjectHigh Energy Physics - Phenomenology
dc.titleExact calculations of vertex $\bar{s}γb$ and $\bar{s} Z b$ in the unitary gauge
dc.typetext

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