Four-fermion production near the W pair production threshold

Details Four-fermion production near the W pair production threshold Four-fermion production near the W pair production threshold

2007-07-05

arxiv.org/abs/0707.0773v2

Nucl.Phys.B792:89-135,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

53 pages, v2: version to be published, inessential modifications

Scientific paper

10.1016/j.nuclphysb.2007.09.030

We perform a dedicated study of the four-fermion production process e- e+ -> mu- nubar_mu u dbar X near the W pair-production threshold in view of the importance of this process for a precise measurement of the W boson mass. Accurate theoretical predictions for this process require a systematic treatment of finite-width effects. We use unstable-particle effective field theory (EFT) to perform an expansion in the coupling constants, GammaW/MW, and the non-relativistic velocity v of the W boson up to next-to-leading order in GammaW/MW ~ alpha_ew ~ v^2. We find that the dominant theoretical uncertainty in MW is currently due to an incomplete treatment of initial-state radiation. The remaining uncertainty of the NLO EFT calculation translates into delta MW ~ 10-15 MeV, and to about 5 MeV with additional input from the NLO four-fermion calculation in the full theory.

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