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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 present the full next-to-next-to-leading order (NNLO) corrections to the coefficient function for the polarized cross section $d \Delta\sigma/d Q$ of the Drell-Yan process. We study the effect of these corrections on the process $p+p\to…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. Ravindran , J. Smith , W. L. van Neerven

We study two-loop corrections to the scattering amplitude of four massive leptons in quantum electrodynamics. These amplitudes involve previously unknown elliptic Feynman integrals, which we compute analytically using the differential…

High Energy Physics - Phenomenology · Physics 2023-11-14 Maximilian Delto , Claude Duhr , Lorenzo Tancredi , Yu Jiao Zhu

We consider the complete set of planar two-loop five-point Feynman integrals with two off-shell external legs. These integrals are relevant, for instance, for the calculation of the second-order QCD corrections to the production of two…

High Energy Physics - Theory · Physics 2024-11-07 Samuel Abreu , Dmitry Chicherin , Vasily Sotnikov , Simone Zoia

We consider electroweak (EW) virtual corrections to $2\to 2$ fermion scattering processes mediated by a vector boson $V$ ($V=W^\pm,Z$) in the pole approximation. As is well known, the computation can be organised into factorisable and…

High Energy Physics - Phenomenology · Physics 2026-05-12 Fazila Ahmadova , Luca Buonocore , Massimiliano Grazzini , Chiara Savoini

We present a determination of a new class of Feynman diagrams relevant for second-order QCD corrections to the top quark decay t -> b W. Modern computing techniques allow us to perform a reduction of the original loop integrals to master…

High Energy Physics - Phenomenology · Physics 2017-08-23 Maciej Slusarczyk

Two-loop electroweak corrections to the muon anomalous magnetic moment are automatically calculated by using GRACE-FORM system, as a trial to extend our system for two-loop calculation. We adopt the non-linear gauge (NLG) to check the…

High Energy Physics - Phenomenology · Physics 2018-10-31 Tadashi Ishikawa , Nobuya Nakazawa , Yoshiaki Yasui

We compute the QCD$\times$QED (${\cal{O}}(\alpha_s \alpha)$) mixed and QED$^2$ (${\cal{O}}(\alpha^2)$) corrections to the production of an on-shell $Z$ boson in hadronic collisions. We obtain them by profiting from the calculation of the…

High Energy Physics - Phenomenology · Physics 2018-11-21 Daniel de Florian , Manuel Der , Ignacio Fabre

The complete set of electroweak O(alpha) corrections to the Drell--Yan-like production of W bosons is calculated and compared to an approximation provided by the leading term of an expansion about the W-resonance pole. All relevant formulae…

High Energy Physics - Phenomenology · Physics 2009-09-25 Stefan Dittmaier , Michael Kramer

We investigate the power-suppressed corrections to the mean values of various quantities that characterise the shapes of final states in deep inelastic lepton scattering. Our method is based on an analysis of one-loop Feynman graphs…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. Dasgupta , B. R. Webber

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

A two-loop induced radiative neutrino model is proposed as an extension of our previous work in which the first and second generation standard model fermion masses are generated at one-loop level in both quark and lepton sectors. Then we…

High Energy Physics - Phenomenology · Physics 2016-12-07 Takaaki Nomura , Hiroshi Okada

Born differential cross sections and the lowest-order radiative correction to them are obtained in the kinematics of large-angle final photons emission in high-energy electron-positron annihilation processes. Taking into account possible…

High Energy Physics - Phenomenology · Physics 2009-04-30 E. Bartos , S. Bakmaev , E. A. Kuraev , M. G. Shatnev , M. Secansky

We present next-to-leading order (NLO) electroweak corrections to the dominant five angular coefficients parametrizing the Drell-Yan process in the $Z$-boson mass peak range for finite-$p_T$ vector boson production. The results are…

High Energy Physics - Phenomenology · Physics 2020-10-14 Rikkert Frederix , Timea Vitos

We give some details of the recently completed calculation of the full two-loop fermionic corrections to the effective leptonic weak mixing angle. Among others, we describe the C++ library DiaGen/IdSolver, which was used to reduce the…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Awramik , M. Czakon , A. Freitas , G. Weiglein

In this paper we present the first application of the MiNLO method to the calculation of QED NLO corrections to the production of a neutral vector boson in Drell-Yan processes. We consider only the case of initial-state radiation, when the…

High Energy Physics - Phenomenology · Physics 2026-02-19 Filippo Belloni , Mauro Chiesa , Carlo Oleari , Emanuele Re

We calculate QCD corrections to transversely polarized Drell-Yan process at a measured $Q_T$ of the produced lepton pair in the dimensional regularization scheme. The $Q_T$ distribution is discussed resumming soft gluon effects relevant for…

High Energy Physics - Phenomenology · Physics 2009-11-11 H. Kawamura , J. Kodaira , H. Shimizu , K. Tanaka

This paper presents a measurement of the triple-differential cross section for the Drell--Yan process $Z/\gamma^*\rightarrow \ell^+\ell^-$ where $\ell$ is an electron or a muon. The measurement is performed for invariant masses of the…

High Energy Physics - Experiment · Physics 2018-02-12 ATLAS Collaboration

Electroweak (EW) corrections can be enhanced at high energies due to the soft or collinear radiation of virtual and real $W$ and $Z$ bosons that result in Sudakov-like corrections of the form $\alpha_W^l\log^n(Q^2/M_{W,Z}^2)$, where…

High Energy Physics - Phenomenology · Physics 2017-02-10 John M. Campbell , Doreen Wackeroth , Jia Zhou

We present the (two--loop) QCD corrections to the longitudinal and transverse components of the electroweak gauge bosons self--energies for arbitrary momentum transfer and for different internal quark masses. Compact formulae for both the…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Djouadi , P. Gambino
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