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Related papers: Three-Loop Radiative-Recoil Corrections to Hyperfi…

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The complete one-loop QED initial state, final state and initial--final state interference corrections to the process e+e- -> pi+pi- are presented. Analytic formulae are given for the virtual and for the real photon corrections. The total…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. Hoefer , J. Gluza , F. Jegerlehner

We compute the three-loop QCD corrections to the massive quark-anti-quark-photon form factors $F_1$ and $F_2$ in the large-$N_c$ limit. The analytic results are expressed in terms of Goncharov polylogarithms. This allows for a…

High Energy Physics - Phenomenology · Physics 2017-03-08 Johannes Henn , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

A theoretical description of elastic polarized muon-electron scattering is presented. Complete one-loop electroweak radiative corrections are calculated with taking into account the exact dependence on the muon mass. The effects due to some…

High Energy Physics - Phenomenology · Physics 2022-03-14 A. B. Arbuzov , S. G. Bondarenko , L. V. Kalinovskaya , L. A. Rumyantsev , V. L. Yermolchyk

We calculate the two-photon exchange correction to the Lamb shift in muonic helium-3 ions within the dispersion relations framework. Part of the effort entailed making analytic fits to the electron-$^3$He quasielastic scattering data set,…

Nuclear Theory · Physics 2017-02-01 Carl E. Carlson , Mikhail Gorchtein , Marc Vanderhaeghen

We update our approximate parametrizations of the three-loop splitting functions for the evolution of unpolarized parton densities in perturbative QCD. The new information taken into account is given by the additional Mellin moments…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. L. van Neerven , A. Vogt

We review the physics of polarization observables in high energy reactions in general and discuss the status of \NLO one--loop corrections to these observables in specific. Many high order radiative corrections exists for rates but not many…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. G. Körner , M. C. Mauser

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

Modern particle physics is increasingly becoming a precision science that relies on advanced theoretical predictions for the analysis and interpretation of experimental results. The planned physics program at the LHC and future colliders…

High Energy Physics - Phenomenology · Physics 2023-01-04 Ievgen Dubovyk , Ayres Freitas , Janusz Gluza , Krzysztof Grzanka , Martijn Hidding , Johann Usovitsch

Radiative corrections in leading logarithmic approximation are calculated for the differential cross section of $e^- \mu ^+$ radiative scattering. In particular the interference term due to photon emission from electron and muon blocks are…

High Energy Physics - Phenomenology · Physics 2007-10-04 V. V. Bytev , E. A. Kuraev , E. Tomasi-Gustafsson

We discuss the calculation of two-point three-loop functions with an arbitrary number of massive propagators and one large external momentum. The relevant subdiagrams are generated automatically. The resulting massless two-point integrals…

High Energy Physics - Phenomenology · Physics 2011-04-15 K. G. Chetyrkin , R. Harlander , J. H. Kuehn , M. Steinhauser

The contribution of the $\alpha^3$ single electron-loop vacuum-polarization diagrams to the Lamb shift of the muonic hydrogen has been evaluated recently by two independent methods. One uses the exact parametric representation of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Kinoshita , M. Nio

We accomplish for the first time the two-loop computation of the leading-twist contribution to the pion electromagnetic form factor by employing the effective field theory formalism rigorously. The next-to-next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2024-11-07 Yao Ji , Bo-Xuan Shi , Jian Wang , Ye-Fan Wang , Yu-Ming Wang , Hui-Xin Yu

We calculate the model-independent radiative corrections to the Dalitz plot of K_{l3}^\pm decays to order (\alpha/\pi)(q/M_1), where q is the momentum transfer and M_1 is the mass of the kaon. The final results are presented, first, with…

High Energy Physics - Phenomenology · Physics 2015-03-17 C. Juarez-Leon , A. Martinez , M. Neri , J. J. Torres , Ruben Flores-Mendieta

We compute the two-loop electroweak correction to the production of the Higgs boson in gluon fusion to higher orders in the dimensional-regularization parameter $\epsilon = (d-4)/2$. We employ the method of differential equations to compute…

High Energy Physics - Phenomenology · Physics 2017-03-08 Marco Bonetti , Kirill Melnikov , Lorenzo Tancredi

We compute three-loop QCD corrections to the scattering amplitude of a Higgs boson and three partons interfered with its tree level counterpart. Specifically, we derive our results in the generalized leading color limit. Our results are…

High Energy Physics - Phenomenology · Physics 2025-04-10 Xiang Chen , Xin Guan , Bernhard Mistlberger

This paper reports the tenth-order QED contribution to lepton g-2 from diagrams of three gauge-invariant sets VI(d), VI(g), and VI(h), which are obtained by including various fourth-order radiative corrections to the sixth-order g-2…

High Energy Physics - Phenomenology · Physics 2010-12-24 T. Aoyama , M. Hayakawa , T. Kinoshita , M. Nio

We evaluate the master integrals for the two-loop non-planar box-diagrams contributing to the elastic scattering of muons and electrons at next-to-next-to-leading order in QED. We adopt the method of differential equations and the Magnus…

High Energy Physics - Phenomenology · Physics 2018-09-17 Stefano Di Vita , Stefano Laporta , Pierpaolo Mastrolia , Amedeo Primo , Ulrich Schubert

We provide an accurate evaluation of the two-photon exchange correction to the hyperfine splitting of S energy levels in muonic hydrogen exploiting the corresponding measurements in electronic hydrogen. The proton structure uncertainty in…

High Energy Physics - Phenomenology · Physics 2018-02-14 Oleksandr Tomalak

We present the complete analytical result for the two-loop logarithmically enhanced contributions to the high energy asymptotic behavior of the vector form factor and the four-fermion cross section in a spontaneously broken SU(2) gauge…

High Energy Physics - Phenomenology · Physics 2010-11-05 Bernd Jantzen , Johann H. Kühn , Alexander A. Penin , Vladimir A. Smirnov

Corrections to hyperfine splitting and Lamb shift of order $\alpha^2(Z\alpha)^5$ induced by the diagrams with radiative photon insertions in the electron line are calculated in the Fried-Yennie gauge. These contributions are as large as…

High Energy Physics - Phenomenology · Physics 2016-09-01 Michael I. Eides , Valery A. Shelyuto