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Phase space analysis for three and four massive particles in final states

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arxiv 1210.7939 v4 pith:I45WAN2S submitted 2012-10-30 hep-ph

Phase space analysis for three and four massive particles in final states

classification hep-ph
keywords finalphaseformulaeintegralsmassiveparticlesspacestates
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We propose formulae for computing the phase space integrals of $1\to 3$ and $1\to 4$ processes with massive particles in final states. As an application of these formulae we study the final state mass effects in some interesting phenomenological cases, giving fully integrated analytic results for the corresponding phase spaces. We consider also the $B_s-\bar{B}_s$ process at NNLO and calculate one of the most complicated master integrals, which contributes to the $\Delta\Gamma_{B_s}$ at $O(\alpha_s^2)$.

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