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We showcase the calculation of the master integrals needed for the two loop mixed QCD-QED virtual corrections to the neutral current Drell-Yan process $(q\bar{q}\rightarrow l^+ l^-)$. After establishing a basis of 51 master integrals, we…

High Energy Physics - Phenomenology · Physics 2020-11-12 Syed Mehedi Hasan , Ulrich Schubert

We present the calculation of the master integrals needed for the two-loop QCDxEW corrections to $ q + \bar{q} \to l^- + l^+$ and $ q + \bar{q}' \to l^- + \overline{\nu} \, , $ for massless external particles. We treat W and Z bosons as…

High Energy Physics - Phenomenology · Physics 2016-10-12 Roberto Bonciani , Stefano Di Vita , Pierpaolo Mastrolia , Ulrich Schubert

We present the two-loop mixed strong-electroweak virtual corrections to the charged current Drell-Yan process. The final-state collinear singularities are regularised by the lepton mass. The evaluation of all the relevant Feynman integrals,…

High Energy Physics - Phenomenology · Physics 2024-05-02 Tommaso Armadillo , Roberto Bonciani , Simone Devoto , Narayan Rana , Alessandro Vicini

The Drell-Yan mechanism for the production of lepton pairs is one of the most basic processes for physics studies at hadron colliders. It is therefore important to have accurate theoretical predictions. In this work we compute the two-loop…

High Energy Physics - Phenomenology · Physics 2013-05-30 William B. Kilgore , Christian Sturm

We report on the first complete computation of the mixed QCD$-$electroweak (EW) corrections to the neutral-current Drell$-$Yan process. Superseding previously applied approximations, our calculation provides the first result at this order…

High Energy Physics - Phenomenology · Physics 2022-01-19 Roberto Bonciani , Luca Buonocore , Massimiliano Grazzini , Stefan Kallweit , Narayan Rana , Francesco Tramontano , Alessandro Vicini

The Drell-Yan production of charged lepton pairs is one of the key processes measured at hadron colliders. The QCD corrections to the cross section are known to order $\alpha_s^2$ and electroweak corrections are known to order $\alpha$. The…

High Energy Physics - Phenomenology · Physics 2019-12-20 Matthias Heller , Andreas von Manteuffel , Robert M. Schabinger , Hubert Spiesberger

We discuss recent theoretical results for the complete mixed QCD-EW corrections to lepton-pair production via the Drell-Yan mechanism, a cornerstone process for the precision physics programme at the LHC. We present results for fiducial…

High Energy Physics - Phenomenology · Physics 2021-11-02 Luca Buonocore

We present the two-loop mixed strong-electroweak virtual corrections to the neutral current Drell-Yan process and we provide, in ancillary files, the explicit formulae of the infrared-subtracted finite remainder. The final state collinear…

High Energy Physics - Phenomenology · Physics 2022-06-23 Tommaso Armadillo , Roberto Bonciani , Simone Devoto , Narayan Rana , Alessandro Vicini

We evaluate the master integrals for the two-loop, 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 2022-10-13 Pierpaolo Mastrolia , Massimo Passera , Amedeo Primo , Ulrich Schubert

We present the analytic calculation of the Master Integrals necessary to compute the planar massive QCD corrections to Di-photon (and Di-jet) production at hadron colliders. The masters are evaluated by means of the differential equations…

High Energy Physics - Phenomenology · Physics 2018-02-14 Matteo Becchetti , Roberto Bonciani

We compute the two-loop master integrals required for the leading QCD corrections to the interaction vertex of a massive neutral boson $X^0$, e.g. $H,Z$ or $\gamma^{*}$, with a pair of $W$ bosons, mediated by a $SU(2)_L$ quark doublet…

High Energy Physics - Phenomenology · Physics 2017-04-26 Stefano Di Vita , Pierpaolo Mastrolia , Amedeo Primo , Ulrich Schubert

We consider Feynman integrals with algebraic leading singularities and total differentials in $\epsilon\,\mathrm{d}\ln$ form. We show for the first time that it is possible to evaluate integrals with singularities involving unrationalizable…

High Energy Physics - Theory · Physics 2020-08-18 Matthias Heller , Andreas von Manteuffel , Robert M. Schabinger

We discuss about a recent computation of the mixed QCD--EW corrections to the hadroproduction of a massive charged lepton plus the corresponding neutrino through the Drell--Yan mechanism. The calculation, based on an extension of the $q_T$…

High Energy Physics - Phenomenology · Physics 2021-11-01 Luca Buonocore

We present the mixed QCD-EW two-loop virtual amplitudes for the neutral current Drell-Yan production, one of the bottlenecks for the complete calculation of the NNLO mixed QCD-EW corrections. We present the computational details and the…

High Energy Physics - Phenomenology · Physics 2022-08-17 Simone Devoto

We study a recently-proposed approach to the numerical evaluation of multi-loop Feynman integrals using available sector decomposition programs. As our main example, we consider the two-loop integrals for the $\alpha \alpha_s$ corrections…

High Energy Physics - Phenomenology · Physics 2017-11-08 Andreas von Manteuffel , Robert M. Schabinger

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 compute the master integrals for two-loop QCD corrections to quasi parton distribution functions (PDFs) in large momentum effective theory. Analytical results of the master integrals are derived using the method of differential…

High Energy Physics - Phenomenology · Physics 2020-10-28 Long-Bin Chen , Wei Wang , Ruilin Zhu

We consider the hadroproduction of a massive charged lepton plus the corresponding neutrino through the Drell-Yan mechanism. We present a new computation of the mixed QCD-EW corrections to this process. The cancellation of soft and…

High Energy Physics - Phenomenology · Physics 2021-06-16 Luca Buonocore , Massimiliano Grazzini , Stefan Kallweit , Chiara Savoini , Francesco Tramontano

We calculate the full set of the two-loop master integrals for heavy-to-light form factors of two different massive fermions for arbitrary momentum transfer in NNLO QCD or QED corrections. These integrals allow to determine the two-loop QCD…

High Energy Physics - Phenomenology · Physics 2018-04-04 Long-Bin Chen

The discrepancy between the CDF measurement and the Standard Model theoretical prediction for the $W$-boson mass underscores the importance of conducting high-precision studies on the $W$ boson, which is one of the predominant objectives of…

High Energy Physics - Phenomenology · Physics 2024-12-09 Zhe Li , Ren-You Zhang , Shu-Xiang Li , Xiao-Feng Wang , Wen-Jie He , Liang Han , Yi Jiang , Qing-hai Wang
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