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Narrow-width approximation accuracy

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arxiv 0807.4112 v2 pith:TBUZEUJ7 submitted 2008-07-25 hep-ph

Narrow-width approximation accuracy

classification hep-ph
keywords accuracyapproximationcorrectionsdecorrelationgeneralnarrow-widthresonantadvisable
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A study of general properties of the narrow-width approximation (NWA) with polarization/spin decorrelation is presented. We prove for total rates of arbitrary resonant decay or scattering processes with an on-shell intermediate state decaying via a cubic or quartic vertex that decorrelation effects vanish and the NWA is of order Gamma. Its accuracy is then determined numerically for all resonant 3-body decays involving scalars, spin-1/2 fermions or vector bosons. We specialize the general results to MSSM benchmark scenarios. Significant off-shell corrections can occur - similar in size to QCD corrections. We qualify the configurations in which a combined consideration is advisable. For this purpose, we also investigate process-independent methods to improve the NWA.

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