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We present analytic formulae for the heavy flavour coefficient functions for polarized deep inelastic lepton-hadron scattering. The expressions are valid in the kinematical regime $Q^2\gg m^2$ where $Q^2$ and $m^2$ stand for the masses…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Buza , Y. Matiounine , J. Smith , W. L. van Neerven

We compute the ${\cal O}(\alpha_s^3)$ virtual QCD corrections to the $\gamma^*\to q\bar q g$ matrix element arising from the interference of the two-loop with the tree-level amplitude and from the self-interference of the one-loop…

High Energy Physics - Phenomenology · Physics 2010-04-06 L. W. Garland , T. Gehrmann , E. W. N. Glover , A. Koukoutsakis , E. Remiddi

Perturbative and nonperturbative QCD corrections to semileptonic B decay rates are calculated and given in analytical and numerical forms. We present the analytic expression for the double distribution in hadronic mass and electron energy…

High Energy Physics - Phenomenology · Physics 2009-09-25 P. Urban

We compute the contribution of three-loop mixed QCD-electroweak corrections ($\alpha_S^2\alpha^2$) to the $gg \to H$ scattering amplitude. We employ the method of differential equations to compute the relevant integrals and express them in…

High Energy Physics - Phenomenology · Physics 2018-05-10 Marco Bonetti , Kirill Melnikov , Lorenzo Tancredi

A complete, gauge-invariant computation of two loop virtual corrections involving closed fermion loops to the polarized M{\o}ller scattering asymmetry is presented. The set of contributions involving two closed fermion loops and the set…

High Energy Physics - Phenomenology · Physics 2021-04-07 Yong Du , Ayres Freitas , Hiren H. Patel , Michael J. Ramsey-Musolf

We review the current status of perturbative corrections in QCD at four loops for scattering processes with space- and time-like kinematics at colliders, with specific focus on deep-inelastic scattering and electron-positron annihilation.…

High Energy Physics - Phenomenology · Physics 2021-04-19 S. Moch , V. Magerya

We calculate the two-loop QCD corrections to paracharmonium decays $eta_{c} rightarrow gamma gamma$ and $eta_{c} rightarrow g g$ involving light-by-light scattering diagrams with light quark loops. Artificial large mass expansion and…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Hasegawa , Alexey Pak

We present a treatment of the next-to-leading-order radiative corrections to unpolarized Moller and Bhabha scattering without resorting to ultra-relativistic approximations. We extend existing soft-photon radiative corrections with new…

Nuclear Experiment · Physics 2016-08-17 Charles S. Epstein , Richard G. Milner

Corrections to energy levels in light muonic atoms are investigated in order $\alpha^2(Z\alpha)^4m$. We pay attention to corrections which are specific for muonic atoms and include the electron vacuum polarization loop. In particular, we…

Atomic Physics · Physics 2014-11-04 Evgeny Yu. Korzinin , Vladimir G. Ivanov , Savely G. Karshenboim

The Standard Model radiative corrections to the Bhabha scattering process are considered within the one-loop approximation. Both virtual corrections and corrections for the real photon emission are taken into consideration. The calculation…

High Energy Physics - Phenomenology · Physics 2020-10-27 A. G. Aleksejevs , S. G. Barkanova , Yu. M. Bystritskiy , V. A. Zykunov

This work deals with the computation of electron pair correction to small angle Bhabha scattering, in order to contribute to the improvement of luminometry precision at LEP/SLC below 0.1% theoretical accuracy. The exact QED four-fermion…

High Energy Physics - Phenomenology · Physics 2011-07-19 G. Montagna , M. Moretti , O. Nicrosini , A. Pallavicini , F. Piccinini

The dominant electroweak two-loop corrections to the precision observables M_W and s_w^eff are calculated in the MSSM. They are obtained by evaluating the two-loop Yukawa contributions of O(alpha_t^2), O(alpha_t alpha_b), O(alpha_b^2) to…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. Haestier , S. Heinemeyer , D. Stöckinger , G. Weiglein

We present the three-loop QCD+QED mixed corrections to the on-shell quark mass and wave-function renormalization constants through orders $\mathcal{O}(\alpha_s^m\alpha^n)$ with $m+n=3$. We further derive the three-loop relation between the…

High Energy Physics - Phenomenology · Physics 2026-02-24 Long Chen , Hong-Yang Han , Zhe Li , Marco Niggetiedt

We calculate the universal flavor-singlet radiative QED corrections to unpolarized lepton scattering applicable to general differential scattering cross sections, involving charged fermions or photons in initial or final states. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johannes Blümlein , Hiroyuki Kawamura

We present the results of our calculations to a one, two, and three loop approximation of the e$^+$e$^-$$\rightarrow$e$^+$e$^-$ Bhabha scattering cross-section at small angles. All terms contributing to the radiatively corrected…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Arbuzov , V. Fadin , E. Kuraev , L. Lipatov , N. Merenkov , L. Trentadue

We present recent results on newly calculated 2- and 3-loop contributions to the heavy quark parts of the structure functions in deep-inelastic scattering due to charm and bottom.

High Energy Physics - Phenomenology · Physics 2016-09-21 J. Ablinger , A. Behring , J. Blümlein , G. Falcioni , A. De Freitas , A. Hasselhuhn , A. von Manteuffel , M. Round , C. Schneider , F. Wißbrock

We derive factorization theorems for Lambda_QCD/mb power corrections to inclusive B-decays in the endpoint region, where mX^2 ~mb Lambda_QCD. In B-> Xu e nu our results are for the full triply differential rate. A complete enumeration of…

High Energy Physics - Phenomenology · Physics 2011-01-27 Keith S. M. Lee , Iain W. Stewart

Two-loop QCD correction to massive spin-2 Graviton decaying to $q ~ + ~ \bar{q}~ + ~g$ is presented considering a generic universal spin-2 coupling to the SM through the conserved energy-momentum tensor. Such a massive spin-2 particle can…

High Energy Physics - Phenomenology · Physics 2016-12-21 Taushif Ahmed , Goutam Das , Prakash Mathews , Narayan Rana , V. Ravindran

The QED vacuum polarization function is calculated to O(alpha^2) (next-to-leading order) accuracy in the threshold regime by using the concept of effective field theories to resum diagrams with the instantaneous Coulomb exchange of…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. H. Hoang

The paper is devoted to the calculation of the two-loop O(alpha_s y^2) and O(y^4) MSSM corrections to the relation between the pole mass of the b-quark and its running mass in DR scheme. To evaluate the needed diagrams the large mass…

High Energy Physics - Phenomenology · Physics 2011-01-27 A. Bednyakov , A. Sheplyakov