{"title":"MBnumerics: Numerical integration of Mellin-Barnes integrals in physical regions","authors":"J. Usovitsch, I. Dubovyk, T. Riemann","doi":"10.22323/1.303.0046","DOIUrl":"https://doi.org/10.22323/1.303.0046","url":null,"abstract":"We introduce techniques to treat numerically Mellin-Barnes integrals in physical regions, which arise in the need of the computation of Feynman integrals for the electroweak two-loop corrections to the pseudo observables at the Z-boson resonance.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125070079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Automated extraction of UV counterterms for arbitrary local operators","authors":"B. Ruijl","doi":"10.22323/1.303.0066","DOIUrl":"https://doi.org/10.22323/1.303.0066","url":null,"abstract":"We sketch how the $R^*$-operation can be used to compute the pole terms of \u0000Feynman diagrams. As an example, we briefly discuss the computatation of the \u0000Higgs decay to gluons. Next, we illustrate how \u0000MSbar{} counterterms can be obtained with the $R^*$-operation. \u0000Finally, we describe how the UV counterterm of any $L$-loop Feynman \u0000diagram with arbitrary local operators can be computed from \u0000$L-1$-loop massless propagator diagrams.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"42 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133238472","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical evaluation of multi-loop integrals","authors":"S. Jahn","doi":"10.22323/1.303.0019","DOIUrl":"https://doi.org/10.22323/1.303.0019","url":null,"abstract":"We present updates on the development of pySecDec, a toolbox to numerically evaluate parameter integrals in the context of dimensional regularization. We discuss difficulties with loop integrals in the special kinematic condition where the squared momentum of a leg is equal to the squared mass of a propagator. We further discuss some features of a Quasi Monte Carlo (QMC) integrator that can optionally run on Graphics Processing Units (GPUs).","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"355 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123613772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
L. Magnea, E. Maina, G. Pelliccioli, C. Signorile-Signorile, P. Torrielli, S. Uccirati
{"title":"Analytic tools for IR subtraction beyond NLO","authors":"L. Magnea, E. Maina, G. Pelliccioli, C. Signorile-Signorile, P. Torrielli, S. Uccirati","doi":"10.22323/1.303.0013","DOIUrl":"https://doi.org/10.22323/1.303.0013","url":null,"abstract":"We review some of our recent work on the infrared subtraction problem beyond NLO, focusing in particular on the general definition of local subtraction counterterms. Our approach takes as a starting point the infrared factorisation of virtual corrections to fixed-angle scattering amplitudes in massless gauge theories, and uses that structure to identify a set of matrix elements of field operators and Wilson lines, which can be used as local soft and collinear counterterms to all orders in perturbation theory. Tracing the connection between factorisation and subtraction uncovers significant simplifications in the structure of counterterms, especially for nested singular regions, and we believe that it will be a crucial ingredient for the construction of minimal, stable, and efficient subtraction algorithms, at NNLO and beyond.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128676689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"One-loop amplitudes for $k_T$-dependent factorization","authors":"A. van Hameren","doi":"10.22323/1.303.0055","DOIUrl":"https://doi.org/10.22323/1.303.0055","url":null,"abstract":"I report on progress in the calculation of one-loop amplitudes with a space-like gluon. Amplitudes with space-like partons are relevant for factorization procedure s that require initial-state partons with non-vanishing transverse momentum components.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116570029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Quadratic relations between Feynman integrals","authors":"D. Broadhurst","doi":"10.22323/1.303.0053","DOIUrl":"https://doi.org/10.22323/1.303.0053","url":null,"abstract":"Feynman integrals come in two varieties: polylogarithmic, or \u0000not. They are used in two ways: as contributions to an \u0000amplitude that is squared, or as contributions to an \u0000observable matrix element. In the former case, products of \u0000integrals occur, in the latter they do not. We report on \u0000products of non-polylogarithmic Feynman integrals related to \u0000the magnetic moment of the electron, giving details of an \u0000infinite set of quadratic relations between these integrals \u0000at all loops $L>2$.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132453128","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. Arbuzov, D. Bardin, S. Bondarenko, Y. Dydyshka, L. Kalinovskaya, L. Rumyantsev, R. Sadykov
{"title":"Electroweak radiative corrections to polarized Bhabha scattering","authors":"A. Arbuzov, D. Bardin, S. Bondarenko, Y. Dydyshka, L. Kalinovskaya, L. Rumyantsev, R. Sadykov","doi":"10.22323/1.303.0010","DOIUrl":"https://doi.org/10.22323/1.303.0010","url":null,"abstract":"In this report we present theoretical predictions for high-energy Bhabha scattering with taking into account complete one-loop electroweak radiative corrections. Longitudinal polarization of the initial beams is assumed. Numerical results for the left-right asymmetry and the relative correction to the distribution in the scattering angle are shown. The results are relevant for several future electron-positron collider projects.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115503665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
L. Dixon, Hua Xing Zhu, M. Luo, Tong-Zhi Yang, Vladyslav Shtabovenko
{"title":"NLO QCD Energy-Energy-Correlation in $e^+ e^-$ Annihilation","authors":"L. Dixon, Hua Xing Zhu, M. Luo, Tong-Zhi Yang, Vladyslav Shtabovenko","doi":"10.22323/1.303.0040","DOIUrl":"https://doi.org/10.22323/1.303.0040","url":null,"abstract":"We present the first fully analytic calculation of the Quantum Chromodynamics (QCD) event shape observable Energy-Energy Correlation in electron-positron annihilation at Next-To-Leading Order (NLO). This result sheds light on the analytic structure of the event shape observables beyond Leading Order (LO) and serves as a motivation to employ our methods in the investigation of other event shape observables that so far have not been calculated analytically.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117232882","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. Ridder, J. Currie, N. Glover, T. Gehrmann, A. Huss, J. Pires
{"title":"Jet cross sections with NNLOJET","authors":"A. Ridder, J. Currie, N. Glover, T. Gehrmann, A. Huss, J. Pires","doi":"10.22323/1.303.0001","DOIUrl":"https://doi.org/10.22323/1.303.0001","url":null,"abstract":"We review the status of NNLO calculations for jet cross sections at the LHC.In particular, we describe how perturbative stability and convergence can be used as criteria to select the most appropriate scales in the theoretical description of di-jet and single jet inclusive production.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128853369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Loop-tree duality at two loops","authors":"G. Rodrigo","doi":"10.22323/1.303.0031","DOIUrl":"https://doi.org/10.22323/1.303.0031","url":null,"abstract":"We derive the loop-tree duality (LTD) theorem at two loops, and outline the extension of the four-dimensional unsubtraction (FDU)scheme for the computation of physical observables to NNLO.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129754434","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}