Right-handed Electrons in Radiative Muon Decay

Details Right-handed Electrons in Radiative Muon Decay Right-handed Electrons in Radiative Muon Decay

2003-06-18

arxiv.org/abs/hep-ph/0306166v2

Phys.Lett. B569 (2003) 25-29

Physics

High Energy Physics

High Energy Physics - Phenomenology

8pages, 2 figures; v2: small correction in para (ii) of summary

Scientific paper

10.1016/j.physletb.2003.07.016

Electrons emitted in the radiative decay mu^- -> e^- anti-nu_e nu_mu gamma have a significant probability of being right-handed, even in the limit m_e -> 0. Such ``wrong-helicity'' electrons, arising from helicity-flip bremsstrahlung, contribute an amount alpha/(4 pi) Gamma_0 to the muon decay width (Gamma_0 = G_F^2 m^5_mu/ (192 pi^3)). We use the helicity-flip splitting function D_hf (z) of Falk and Sehgal (Phys. Lett. B 325, 509 (1994)) to obtain the spectrum of the right-handed electrons and the photons that accompany them. For a minimum photon energy E_gamma = 10 MeV (20 MeV), approximately 4% (7%) of electrons in radiative mu-decay are right-handed.

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