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We calculate radiative-recoil corrections of order $\alpha^2(Z\alpha)(m/M)E_F$ to hyperfine splitting in muonium generated by the diagrams with electron and muon polarization loops. These corrections are enhanced by the large logarithm of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

A unified treatment of both chiral and radiative corrections to the low-energy elastic lepton-proton scattering processes is presented in Heavy Baryon Chiral Perturbations Theory. The proton hadronic chiral corrections include the…

Nuclear Theory · Physics 2021-09-15 Pulak Talukdar , Vanamali C. Shastry , Udit Raha , Fred Myhrer

We have calculated the next-to-leading order perturbative QCD corrections to the photon energy spectrum in radiative Upsilon decays. The higher-order corrections significantly modify the shape of the spectrum, in particular at large photon…

High Energy Physics - Phenomenology · Physics 2009-04-13 Michael Krämer

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

One of the nicest results in cosmological perturbation theory is the analytical resummaton of the leading corrections at large momentum, which was obtained by Crocce and Scoccimarro for the propagator. Using an exact evolution equation, we…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Stefano Anselmi , Sabino Matarrese , Massimo Pietroni

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

Manifestly Lorentz-invariant baryon chiral perturbation theory is used to calculate the radiative correction of low energy elastic lepton proton scatterings. Corrections of differential cross section and charge asymmetry are given at chiral…

High Energy Physics - Phenomenology · Physics 2022-05-16 Xiong-Hui Cao , Qu-Zhi Li , Han-Qing Zheng

A self-consistent version of the left-right (LR) symmetric model is used to examine tree- as well as one-loop level radiative corrections to the muon decay. It is shown that constraints on the heavy sector of the model parameters are…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Czakon , J. Gluza , J. Hejczyk

The radiative muon capture(RMC) on a proton is analyzed by means of heavy baryon chiral perturbation theory. The emitted photon energy spectrum is calculated and compared with the experimental data by taking the spin sum on the muonic atom…

High Energy Physics - Phenomenology · Physics 2009-10-30 Shung-ichi Ando , Dong-Pil Min

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 compute the complete O(alpha^2) QED corrections to the electron energy spectrum in unpolarized muon decay, including the full dependence on the electron mass. Our calculation reduces the theoretical uncertainty on the electron energy…

High Energy Physics - Phenomenology · Physics 2008-11-26 Charalampos Anastasiou , Kirill Melnikov , Frank Petriello

The partial-wave expansion used to treat the distortion of scattered electrons by the nuclear Coulomb field is simpler and considerably less time-consuming when applied to the production of muons and electrons by low and intermediate-energy…

Nuclear Theory · Physics 2008-11-26 J. Engel

An expression for the Dalitz plot of the semileptonic decay of a charged kaon, including radiative corrections to order O[\alpha \pi)(q/M_1)], where q is the four-momentum transfer and M_1 is the mass of the decaying kaon, is obtained.…

High Energy Physics - Phenomenology · Physics 2020-04-14 M. J. Sanchez-Glez , A. Martinez , C. Juarez-Leon , M. Neri , J. J. Torres , Ruben Flores-Mendieta

We derive the corrections induced by the W-boson propagator to the differential rates of the leptonic decay of a polarized muon and tau lepton. Results are presented both for decays inclusive of inner bremsstrahlung as well as for radiative…

High Energy Physics - Phenomenology · Physics 2013-12-04 M. Fael , L. Mercolli , M. Passera

Born cross section and the radiative corrections to its lowest order are considered in the frame work of QED with structureless nucleons including the emission of virtual and real photons. Result is generalized to take into account…

High Energy Physics - Phenomenology · Physics 2009-11-13 E. A. Kuraev , S. Bakmaev , Yu. M. Bystritskiy , T. V. Shishkina , O. P. Solovtsova

We use the Mellin-Barnes representation in order to improve the theoretical estimate of mass corrections to the width of light pseudoscalar meson decays into a lepton pair, $P\to l^{+}l^{-}$ . The full resummation of the terms…

High Energy Physics - Phenomenology · Physics 2009-06-19 A. E. Dorokhov , M. A. Ivanov , S. G. Kovalenko

We present an overview of modern approaches to low-energy baryon structure based on baryon chiral perturbation theory. These are driven by the emergence of Lorentz covariant schemes and the systematic consideration of the effects of the…

High Energy Physics - Phenomenology · Physics 2013-03-18 J. Martin Camalich

The electron Lamb shift $(2P-2S)$ and the energy interval $(2S-1S)$ in muon-electron ions of lithium, beryllium, and boron have been calculated within the framework of the perturbation theory method for the fine structure constant and the…

Atomic Physics · Physics 2021-05-19 A. E. Dorokhov , V. I. Korobov , A. P. Martynenko , F. A. Martynenko

This report consists of three parts. In Chapter 1 we present a brief description of the LEPTOP approach for the calculation of the radiative corrections in the Minimal Standard Model. The approach is based on the one-loop approximation with…

High Energy Physics - Phenomenology · Physics 2009-09-25 V. Novikov , L. Okun , A. Rozanov , M. Vysotsky