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We have noted that the electron spectrum of muon decay in the leading logarithmic approximation calculated in two lowest orders of the perturbation theory in the paper of Berman (1958), can be reproduced by the parton language. This fact…

High Energy Physics - Phenomenology · Physics 2010-01-08 E. Bartos , E. A. Kuraev , M. Secansky

We compute the dominant, logarithmically enhanced radiative corrections to the electron spectrum in the bound muon decay in the whole experimentally interesting range. The corrected spectrum fits well the TWIST results. The remaining…

High Energy Physics - Phenomenology · Physics 2016-09-21 Robert Szafron , Andrzej Czarnecki

We consider the impact of O(alpha^2) hadronic corrections to the energy spectrum of the decay electron in muon decay. We find that the correction can be described, within good approximation, by a linear function in the electron energy.…

High Energy Physics - Phenomenology · Physics 2009-01-07 A. I. Davydychev , K. Schilcher , H. Spiesberger

An analytical expression for the spin-averaged amplitude squared of the rare muon decay $\mu^+ \to e^+e^-e^+\nu_e\bar{\nu_\mu}$ is calculated. Monte Carlo phase space simulation using the analytical expression for the amplitude has been…

High Energy Physics - Phenomenology · Physics 2014-11-18 Rashid M. Djilkibaev , Rostislav V. Konoplich

We present the differential decay rates and the branching ratios of the muon decay with internal conversion, $\mu \to e \, (e^+e^-) \, \nu \bar{\nu}$, in the Standard Model at next-to-leading order (NLO) in the on-shell scheme. This rare…

High Energy Physics - Phenomenology · Physics 2017-02-07 M. Fael , C. Greub

The spectrum of electrons from muons decaying in an atomic bound state is significantly modified by their interaction with the nucleus. Somewhat unexpectedly, its first measurement, at the Canadian laboratory TRIUMF, differed from basic…

High Energy Physics - Phenomenology · Physics 2015-06-22 Andrzej Czarnecki , Matthew Dowling , Xavier Garcia i Tormo , William J. Marciano , Robert Szafron

We chart new-physics models that produce exotic, high-multiplicity muon decays featuring prompt or displaced $e^+e^-$ pairs and/or photons, with or without missing energy, such as $\mu \to 5e$, $\mu \to 7e$, etc. Starting from an…

High Energy Physics - Phenomenology · Physics 2025-10-13 Admir Greljo , Ajdin Palavrić , Mirsad Tunja , Jure Zupan

Experimental searches for lepton-flavor-violating coherent muon-to-electron conversion in the field of a nucleus, have been proposed to reach the unprecedented sensitivity of 10^(-16) - 10^(-18) per stopped muon. At that level, they probe…

High Energy Physics - Phenomenology · Physics 2011-08-08 Andrzej Czarnecki , Xavier Garcia i Tormo , William J. Marciano

This paper provides a detailed description of the method for the first direct measurement of all Michel parameters in the $\tau^- \to \mu^- \bar{\nu}_\mu\nu_\tau$ decay related to the polarization of the daughter muon. An application of the…

High Energy Physics - Phenomenology · Physics 2022-10-11 D. Bodrov , P. Pakhlov

We present a general purpose Monte Carlo program for the calculation of the radiative muon decay $\mu\to e\,\nu \bar{\nu}\gamma$ and the radiative decays $\tau\to e\, \nu \bar{\nu}\gamma$ and $\tau\to\mu\,\nu \bar{\nu}\gamma$ at…

High Energy Physics - Phenomenology · Physics 2017-07-25 G. M. Pruna , A. Signer , Y. Ulrich

Axion-like particles (ALPs) with lepton-flavor violating couplings can be probed in exotic muon and tau decays. The sensitivity of different experiments depends strongly on the ALP mass and its couplings to leptons and photons. For ALPs…

High Energy Physics - Phenomenology · Physics 2020-06-24 Martin Bauer , Matthias Neubert , Sophie Renner , Marvin Schnubel , Andrea Thamm

We discuss predictions for the lepton-flavour changing decays Z --> e mu, mu tau, e tau which may be searched for at the Giga-Z option of the Tesla Linear Collider project with Z resonance production rates as high as 10^9. We try to be as…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. I. Illana , M. Jack , T. Riemann

The experimental test of possible expansion for the Higgs sector is proposed. The lepton family violation will be studied. To reach this goal we are going to carry out the search for the scalar Goldstone boson in the neutrinoless muon decay…

We consider the O(alpha^2) hadronic corrections to the energy spectrum of the decay electron in muon decay. We find that the correction can be described, within good approximation, by a linear function in the electron energy. Explicit…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. I. Davydychev , K. Schilcher , H. Spiesberger

QED radiative corrections to polarized muon decay spectrum are considered. Leading and next--to--leading logarithmic approximations are used. Exponentiation of soft radiation is discussed. The present theoretical uncertainty of the spectrum…

High Energy Physics - Phenomenology · Physics 2009-11-07 Andrej Arbuzov

The Mu3e experiment aims to search for the lepton-flavour violating decay $\mu^+\rightarrow\ \text{e}^+ \text{e}^+ \text{e}^-$ with a sensitivity to one signal decay in $10^{16}$ muon decays at a muon stopping rate of $2\times 10^9…

Instrumentation and Detectors · Physics 2019-08-14 Ann-Kathrin Perrevoort

We determine the $\mathcal{O}(\alpha)$ correction to the energy spectrum of electrons produced in the decay of muons bound in atoms. We focus on the high-energy end of the spectrum that constitutes a background for the muon-electron…

High Energy Physics - Phenomenology · Physics 2016-01-20 Robert Szafron , Andrzej Czarnecki

Future lepton colliders, such as those based on linear $e^+e^-$ or circular $\mu^+\mu^-$ accelerators, are expected to attain centre-of-mass energies in the multi-TeV range. In this regime the impact of QED and of weak radiation, in both…

High Energy Physics - Phenomenology · Physics 2025-09-04 Stefano Frixione , Fabio Maltoni , Davide Pagani , Marco Zaro

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…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Fischer , S. Groote , J. G. Körner , M. C. Mauser

We present a detailed discussion of the lepton flavour and number violating conversion of bound muons into positrons. This process is a viable alternative to neutrinoless double beta decay and, given that experiments on ordinary $\mu^-$-…

High Energy Physics - Phenomenology · Physics 2017-03-15 Tanja Geib , Alexander Merle