Light Mesons and Muon Radiative Decays and Photon Polarization Asymmetry

Abstract

We systematically compute and discuss meson and muon polarized radiative decays. Doubly differential distributions in terms of momenta and helicities of the final lepton and photon are explicitly computed. The undergoing dynamics giving rise to lepton and photon polarizations is examined and analyzed in the soft and hard region of momenta. The particular configurations made by right-handed leptons with accompanying photons are investigated and interpreted as a manifestation of the axial anomaly. The photon polarization asymmetry is evaluated. Finiteness of polarized amplitudes against infrared and collinear singularities is shown to take place with mechanisms distinguishing between right handed and left handed final leptons. We propose a possible test using photon polarization to clarify a recently observed discrepancy in radiative meson decays.

arXiv commentImproved analytical results and new references, 52 pages, LaTeX, 16 eps figures, version to appear on Nuclear Physics B

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Cited by in corpus (6)

• Radiative $\mu$ and $\tau$ leptonic decays at NLO
• Fully differential NLO predictions for the radiative decay of muons and taus
• Tracing CP-violation in Lepton Flavor Violating Muon Decays
• $O({\alpha }_s)$ corrections to the polar angle dependence of the longitudinal spin-spin correlation asymmetry in $e^{+}{e}^{-}\to q\bar{q}$
• Using Circular Polarisation to Test the Composition and Dynamics of Astrophysical Particle Accelerators
• Circular polarisation: a new probe of dark matter and neutrinos in the sky