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Related papers: On the massive two-loop corrections to Bhabha scat…

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We present our results for the NNLL virtual corrections to the matrix elements of the operators O_1 and O_2 for the inclusive process b\to s\ell^+\ell^- in the kinematical region q^2>4m_c^2, where q^2 is the invariant mass squared of the…

High Energy Physics - Phenomenology · Physics 2009-05-20 Christoph Greub , Volker Pilipp , Christof Schüpbach

Mellin-Barnes (MB) techniques applied to integrals emerging in particle physics perturbative calculations are summarized. New versions of AMBRE packages which construct planar and nonplanar MB representations are shortly discussed. The…

High Energy Physics - Phenomenology · Physics 2016-10-04 Ievgen Dubovyk , Janusz Gluza , Tord Riemann , Johann Usovitsch

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

Multi-loop scattering amplitudes are difficult to evaluate due to singularities of the integrals involved, especially with increasing number of loops, external legs, and mass scales. For the first time for hadronic collisions at two loops,…

High Energy Physics - Phenomenology · Physics 2025-11-26 Dario Kermanschah , Matilde Vicini

We compute the two-loop virtual corrections to the flavour changing neutral current process $b --> d l^+ l^-$. As calculation techniques integration by parts identities and the method of differential equations are used. The result is…

High Energy Physics - Phenomenology · Physics 2009-11-10 Dirk Seidel

We consider the two-loop corrections to the $HW^+W^-$ vertex at order $\alpha\alpha_s$. We construct a canonical basis for the two-loop integrals using the Baikov representation and the intersection theory. By solving the $\epsilon$-form…

High Energy Physics - Phenomenology · Physics 2022-01-07 Chichuan Ma , Yuxuan Wang , Xiaofeng Xu , Li Lin Yang , Bin Zhou

We report on recent progress in calculating the three loop QCD corrections of the heavy flavor contributions in deep--inelastic scattering and the massive operator matrix elements of the variable flavor number scheme. Notably we deal with…

High Energy Physics - Phenomenology · Physics 2023-06-30 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. Goedicke , A. von Manteuffel , C. Schneider , K. Schönwald

Neutrino masses can be generated radiatively. In such scenarios their masses are calculated by evaluating a self-energy diagram with vanishing external momentum, i.e. taking only the leading order term in a momentum expansion. The…

High Energy Physics - Phenomenology · Physics 2020-01-08 Werner Rodejohann , Xun-Jie Xu

A previous calculation of electroweak O(alpha) corrections to deep-inelastic neutrino scattering, as e.g. measured by NuTeV and NOMAD, is supplemented by higher-order effects. In detail, we take into account universal two-loop effects from…

High Energy Physics - Phenomenology · Physics 2009-11-11 K. -P. O. Diener , S. Dittmaier , W. Hollik

We analytically compute two-loop Yukawa corrections to Higgs boson pair production in the high-energy limit. Such corrections are generated by an exchange of a Higgs boson between the virtual top quark lines. We propose two approaches to…

High Energy Physics - Phenomenology · Physics 2022-09-14 Joshua Davies , Go Mishima , Kay Schönwald , Matthias Steinhauser , Hantian Zhang

The one-loop self-energy correction to the hyperfine splitting of the 1s and 2s levels in H-like low-Z atoms is evaluated to all orders in Z\alpha. The results are compared to perturbative calculations. The residual higher-order…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. A. Yerokhin , V. M. Shabaev

Analitical calculations have been used to describe the calorimeter event selection in small-angle electron-positron scattering at LEP1. The first-order QED correction to the Born cross-section has been derived with leading log and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. I. Gakh , V. Yu. Gonchar , N. P. Merenkov

I present calculations of two-loop vertex corrections with massive and massless partons in the eikonal approximation. I show that the $n$-loop result for the UV poles can be given in terms of the one-loop calculation.

High Energy Physics - Phenomenology · Physics 2007-05-23 Nikolaos Kidonakis

We present the analytic expressions of the three-loop virtual corrections to the helicity amplitudes of 2 -> 2 four-fermion scattering processes in massless QED. The contributing Feynman diagrams are grouped into integrand families…

High Energy Physics - Phenomenology · Physics 2026-02-12 Giulio Crisanti , Thomas Dave , Pierpaolo Mastrolia , Jonathan Ronca , Sid Smith , William J. Torres Bobadilla

We present a semi-numerical method to compute one-loop corrections to processes involving many particles. We treat in detail cases with up to five external legs and massless internal propagators, although the method is more general.

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Zanderighi

Upper limits on doubly charged bilepton couplings and masses are extracted from LEP data for Bhabha scattering at energy range $\sqrt{s}=183-202$ GeV using standard model program ZFITTER which calculates radiative corrections. We find that…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Atag , K. O. Ozansoy

We outline the recent results on the two-loop electroweak contributions to the electron-electron scattering cross sections and asymmetries. Although the two-loop corrections are strongly suppressed relative to the one-loop corrections, they…

High Energy Physics - Phenomenology · Physics 2014-11-18 A. Aleksejevs , S. Barkanova , V. Zykunov

Bhabha scattering is one of the processes at the ILC where high precision data will be expected. The complete NNLO corrections include radiative loop corrections, with contributions from Feynman diagrams with five external legs. We take…

High Energy Physics - Phenomenology · Physics 2009-02-16 J. Gluza , T. Riemann

The one-loop corrections to the weak mixing angle $\sin^2\theta_{eff}^b$ derived from the $Z{\bar b}b$ vertex, are known since 1985. It took another 30 years to calculate the complete electroweak two-loop corrections to…

High Energy Physics - Phenomenology · Physics 2016-11-08 I. Dubovyk , A. Freitas , J. Gluza , T. Riemann , J. Usovitsch

We discuss the two-loop integrals necessary for evaluating massless 2 to 2 scattering amplitudes. As a test process, we consider the leading colour two-loop contribution to qqbar to q'qbar'. We show that for physical scattering processes…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. W. N. Glover , M. E. Tejeda-Yeomans