{"title":"On the gauge dependence of Quantum Electrodynamics","authors":"H. Kissler","doi":"10.22323/1.303.0032","DOIUrl":"https://doi.org/10.22323/1.303.0032","url":null,"abstract":"This paper reports on our diagrammatic approach to characterize the gauge dependence of Quantum Electrodynamics in the linear covariant gauge. Our dimensionally independent technique is purely based on a perturbative analysis and allows us to construct the full expansion in the gauge parameter of a Green’s function from its value in a particular gauge (such as the Feynman or Landau gauge). Further, we clarify the compatiblity of perturbation theory and the Landau– \u0000Khalatnikov–Fradkin transform.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133707509","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}
S. Abreu, R. Britto, C. Duhr, E. Gardi, J. Matthew
{"title":"Coaction for Feynman integrals and diagrams","authors":"S. Abreu, R. Britto, C. Duhr, E. Gardi, J. Matthew","doi":"10.22323/1.303.0047","DOIUrl":"https://doi.org/10.22323/1.303.0047","url":null,"abstract":"We propose a general coaction for families of integrals appearing in the evaluation of Feynman diagrams, such as multiple polylogarithms and generalized hypergeometric functions. We further conjecture a link between this coaction and graphical operations on Feynman diagrams. At one-loop order, there is a basis of integrals for which this correspondence is fully explicit. We discuss features and present examples of the diagrammatic coaction on two-loop integrals. We also present the coaction for the functions ${}_{p+1}F_p$ and Appell $F_1$.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116806122","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}
G. Buchalla, A. Celis, M. Capozi, G. Heinrich, L. Scyboz
{"title":"Higher order and top mass effects in Higgs boson pair production beyond the Standard Model","authors":"G. Buchalla, A. Celis, M. Capozi, G. Heinrich, L. Scyboz","doi":"10.22323/1.303.0083","DOIUrl":"https://doi.org/10.22323/1.303.0083","url":null,"abstract":"We discuss the interplay between NLO QCD corrections and anomalous couplings in Higgs boson pair production via gluon fusion, within the framework of a non-linearly realised Effective Field Theory, described by the electroweak chiral Lagrangian. \u0000We study how the NLO corrections with full top quark mass dependence affect the total cross sections as well as distributions in the Higgs boson pair invariant mass. \u0000For a large part of the parameter space, significant and non-homogeneous K-factors arise.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129931383","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":"Progress on two-loop five-point Master Integrals","authors":"C. Papadopoulos, C. Wever","doi":"10.22323/1.303.0015","DOIUrl":"https://doi.org/10.22323/1.303.0015","url":null,"abstract":"A new approach to compute Feynman Integrals is presented. Based on it, we verify our previous results on planar five-point two-loop Master Integrals in the physical kinematical region. We also show how to obtain results for certain non-planar five-point two-loop Master Integrals in both Euclidean and physical regions.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121504490","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":"The Regge Limit and infrared singularities of QCD scattering amplitudes to all orders","authors":"L. Vernazza, S. Caron-Huot, E. Gardi, J. Reichel","doi":"10.22323/1.303.0038","DOIUrl":"https://doi.org/10.22323/1.303.0038","url":null,"abstract":"In this talk we discuss recent progress in understanding the iterative structure of scattering amplitudes in the high-energy limit. As an application, we show that by using BFKL theory it is possible to determine the infrared divergent part of two-parton amplitudes to all orders in perturbation theory and to next-to-leading-logarithmic accuracy in the high-energy limit, resumming the two-Reggeon contribution. Remarkably, the infrared-singular part can be expressed in a closed form. This allows us to predict the Regge limit of the soft anomalous dimension to any loop order.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122843420","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":"Massive quark form factors","authors":"R. Lee, A. Smirnov, V. Smirnov, M. Steinhauser","doi":"10.22323/1.303.0085","DOIUrl":"https://doi.org/10.22323/1.303.0085","url":null,"abstract":"In this contribution we provide further details to the recent calculation \u0000 of QCD corrections to massive three-loop form factors presented in Ref.~cite{Lee:2018rgs}.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130291225","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}
S. Badger, Christian Brønnum-Hansen, T. Gehrmann, H. Hartanto, J. Henn, N. L. Presti, T. Peraro
{"title":"Applications of integrand reduction to two-loop five-point scattering amplitudes in QCD","authors":"S. Badger, Christian Brønnum-Hansen, T. Gehrmann, H. Hartanto, J. Henn, N. L. Presti, T. Peraro","doi":"10.22323/1.303.0006","DOIUrl":"https://doi.org/10.22323/1.303.0006","url":null,"abstract":"We review the current state-of-the-art in integrand level reduction for five-point scattering amplitudes at two loops in QCD. We present some benchmark results for the evaluation of the leading colour two-loop five-gluon amploitudes in the physical region as well as the partonic channels for two quarks and three gluons and four quarks and one gluon.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129347774","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":"Five-Point Two-Loop Amplitudes from Numerical Unitarity","authors":"S. Abreu, F. Cordero, H. Ita, B. Page, M. Zeng","doi":"10.22323/1.303.0016","DOIUrl":"https://doi.org/10.22323/1.303.0016","url":null,"abstract":"We present advances in the development of the numerical unitarity method for the computation of multi-loop amplitudes in QCD. As an application, we show results for all the leading-color two-loop five-gluon helicity amplitudes. The amplitudes are reduced to a linear combination of master integrals by employing unitarity-compatible integration-by-parts identities, and the corresponding integral coefficients are computed in an exact manner on rational phase-space points through finite-field arithmetics.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115044065","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, T. Gehrmann, N. Glover, A. Huss, D. Walker
{"title":"NNLO QCD Corrections to W+jet Production in NNLO JET","authors":"A. Ridder, T. Gehrmann, N. Glover, A. Huss, D. Walker","doi":"10.22323/1.303.0041","DOIUrl":"https://doi.org/10.22323/1.303.0041","url":null,"abstract":"We give an overview of our calculation of the next-to-next-to-leading order (NNLO) QCD corrections to W + jet production in hadronic collisions. Phenomenological results for multiple differential distributions are compared to CMS data for 8 TeV proton–proton collisions. We further discuss the application of the calculation to the transverse momentum spectrum of inclusive W boson production, again accompanied by a comparison to 8 TeV CMS data. In both cases, the inclusion of NNLO QCD effects give an improved agreement between theory and data with considerably reduced scale uncertainties with respect to the next-to-leading order (NLO) results.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126499285","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":"Two-loop $D$-dimensional unitarity and dual-conformal symmetry","authors":"Z. Bern, Michael Enciso, H. Ita, M. Zeng","doi":"10.22323/1.303.0084","DOIUrl":"https://doi.org/10.22323/1.303.0084","url":null,"abstract":"In this talk we show that dual conformal symmetry has unexpected applications to Feynman integrals in dimensional regularization. Outside $4$ dimensions, the symmetry is anomalous, but still preserves the unitarity cut surfaces. This generally leads to differential equations whose RHS is proportional to $(d-4)$ and has no doubled propagators. The stabilizer subgroup of the conformal group leads to integration-by-parts (IBP) relations without doubled propagators. The above picture also suggested hints that led us to find a nonplanar analog of dual conformal symmetry.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116874551","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}