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Related papers: The electron energy spectrum in muon decay through…

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O(\alpha^2 \ln(m_\mu/m_e)) corrections to electron energy spectrum in muon decay are computed using perturbative fragmentation function approach. The magnitude of these corrections is comparable to anticipated precision of the TWIST…

High Energy Physics - Phenomenology · Physics 2014-11-17 Andrej Arbuzov , Kirill Melnikov

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

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

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

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

O(alpha^2 ln^2(m_mu/m_e)) QED corrections to the electron spectrum and angular distribution in muon decay are evaluated. Impact on the determination of Michel parameters is estimated. Current theoretical uncertainty in the muon decay…

High Energy Physics - Phenomenology · Physics 2011-03-31 Andrej Arbuzov , Andrzej Czarnecki , Andrei Gaponenko

The first order QED corrections to the polarized muon decay spectrum are considered. The exact dependence on electron and muon masses is kept. Numerical results are presented.

High Energy Physics - Phenomenology · Physics 2009-11-07 A. B. Arbuzov

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

We have determined in detail the electron spectrum in the decay of bound muons. These results are especially relevant for the upcoming muon-electron conversion experiments.

High Energy Physics - Phenomenology · Physics 2015-06-03 Andrzej Czarnecki , Xavier Garcia i Tormo , William J. Marciano

We compute the spin asymmetry of the muon decay through O(alpha^2) in perturbative QED. These two-loop corrections are about a factor five (twenty) smaller than the current statistical (systematic) uncertainty of the most precise…

High Energy Physics - Phenomenology · Physics 2014-09-10 Fabrizio Caola , Andrzej Czarnecki , Yi Liang , Kirill Melnikov , Robert Szafron

Higher-order QED radiative corrections to muon decay spectrum are evaluated within the QED structure function approach in the next-to-leading order logarithmic approximation. New analytical results are given in the…

High Energy Physics - Phenomenology · Physics 2023-12-19 A. B. Arbuzov , U. E. Voznaya

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

Bound-muon decays are a powerful probe of new physics, making precise theoretical predictions for their spectra essential. While QED corrections significantly affect the shape of the spectra, their calculation is extremely challenging below…

High Energy Physics - Phenomenology · Physics 2025-10-31 Duarte Fontes , Robert Szafron

We derive the dominant part of the O(\alpha_s^2) correction to the photon energy spectrum in the inclusive decay B-> X_s+gamma. The detailed knowledge of the spectrum is important for relating the theoretical calculations of the B-> X_s +…

High Energy Physics - Phenomenology · Physics 2011-01-27 Kirill Melnikov , Alexander Mitov

We compute O(alpha_s^2) QCD corrections to the lepton invariant mass spectrum in the decay b --> u l nu_l, relevant for the determination of the CKM matrix element |V_{ub}|. Our method can also be used to evaluate moments of the lepton…

High Energy Physics - Phenomenology · Physics 2010-11-23 Andrzej Czarnecki , Kirill Melnikov

We evaluate the O(alpha) QED corrections to the recoil electron energy spectrum in the process nu_l + e --> nu_l + e (+gamma), where (+gamma) indicates the possible emission of a photon and l=e, mu or tau. The soft and hard bremsstrahlung…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Passera

We present the first measurement of the energy spectrum up to 70 MeV of electrons from the decay of negative muons after they become bound in $^{27}$Al atoms. The data were taken with the TWIST apparatus at TRIUMF. We find a muon lifetime…

The energy spectra of spin-1/2 electrons under two-dimensional magnetic field modulations are calculated beyond the one-band approximation. Our formulation is generally applicable to a modulation field with a rectangular lattice symmetry.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ming-Che Chang , Min-Fong Yang

Calculation of higher-order radiative corrections to unpolarized muon decay spectrum is discussed. Results for the orders $\mathcal{O}(\alpha^2 L)$, $\mathcal{O}(\alpha^3 L^3)$ and $\mathcal{O}(\alpha^3 L^2)$ are presented.

High Energy Physics - Phenomenology · Physics 2023-12-06 U. E. Voznaya , A. B. Arbuzov

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
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