Leptonic $ μ$- and $ τ$-decays: mass effects, polarization effects and $ O(α) $ radiative corrections

Details Leptonic $ μ$- and $ τ$-decays: mass effects, polarization effects and $ O(α) $ radiative corrections Leptonic $ μ$- and $ τ$-decays: mass effects, polarization effects and $ O(α) $ radiative corrections

2002-03-05

arxiv.org/abs/hep-ph/0203048v3

Phys.Rev. D67 (2003) 113008

Physics

High Energy Physics

High Energy Physics - Phenomenology

39 pages, 11 postscript figures added. Updated version. Four references added. A few text improvements. Final version to appea

Scientific paper

10.1103/PhysRevD.67.113008

We calculate the radiative corrections to the unpolarized and the four polarized spectrum and rate functions in the leptonic decay of a polarized $ \mu $ into a polarized electron. The new feature of our calculation is that we keep the mass of the final state electron finite which is mandatory if one wants to investigate the threshold region of the decay. Analytical results are given for the energy spectrum and the polar angle distribution of the final state electron whose longitudinal and transverse polarization is calculated. We also provide analytical results on the integrated spectrum functions. We analyze the $ m_e \to 0 $ limit of our general results and investigate the quality of the $ m_e \to 0 $ approximation. In the $ m_e \to 0 $ case we discuss in some detail the role of the $ O(\alpha) $ anomalous helicity flip contribution of the final electron which survives the $ m_e \to 0 $ limit. The results presented in this 0203048 also apply to the leptonic decays of polarized $ \tau $-leptons for which we provide numerical results.

Affiliated with

Also associated with

No associations

Rating

Leptonic $ μ$- and $ τ$-decays: mass effects, polarization effects and $ O(α) $ radiative corrections does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Leptonic $ μ$- and $ τ$-decays: mass effects, polarization effects and $ O(α) $ radiative corrections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Leptonic $ μ$- and $ τ$-decays: mass effects, polarization effects and $ O(α) $ radiative corrections will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-75884