J. Ablinger, J. Blumlein, A. D. Freitas, A. Goedicke, Carsten Schneider, K. Schonwald
{"title":"Two-mass three-loop effects in deep-inelastic scattering","authors":"J. Ablinger, J. Blumlein, A. D. Freitas, A. Goedicke, Carsten Schneider, K. Schonwald","doi":"10.22323/1.303.0051","DOIUrl":"https://doi.org/10.22323/1.303.0051","url":null,"abstract":"We report on recent results on the two-mass corrections for massive operator \u0000matrix elements at 2- and 3-loop orders in QCD. These corrections form the building blocks \u0000of the variable flavor number scheme. Due to the similar values of the charm and bottom \u0000quark masses the two-mass corrections form an important contribution.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125607321","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}
V. Duca, Stefan Druc, James R. Drummond, C. Duhr, F. Dulat, Robin Marzucca, G. Papathanasiou, Bram Verbeek
{"title":"Multi-Loop Amplitudes in the High-Energy Limit in N = 4 SYM","authors":"V. Duca, Stefan Druc, James R. Drummond, C. Duhr, F. Dulat, Robin Marzucca, G. Papathanasiou, Bram Verbeek","doi":"10.22323/1.303.0026","DOIUrl":"https://doi.org/10.22323/1.303.0026","url":null,"abstract":"We introduce a novel way to perform high-order computations in multi-Regge-kinematics in planar $mathcal{N} = 4$ supersymmetric Yang-Mills theory and generalize the existing factorization into building blocks at two loops to all loop orders. Afterwards, we will explain how this framework can be used to easily obtain higher-loop amplitudes from existing amplitudes and how to relate them to amplitudes with higher number of legs.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129514447","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":"NNLO corrections to VBF Higgs boson production","authors":"J. Cruz-Martinez, N. Glover, T. Gehrmann, A. Huss","doi":"10.22323/1.303.0003","DOIUrl":"https://doi.org/10.22323/1.303.0003","url":null,"abstract":"This talk expands on recently published results for the factorising next-to-next-to-leading order (NNLO) QCD corrections to Higgs boson production in the vector boson fusion (VBF) channel. The calculation is fully differential in the kinematics of the Higgs boson and the final state jets and is implemented in the NNLOJET framework for computing higher-order QCD corrections. We find the NNLO corrections to be limited in magnitude to about mpm 5% with a weak kinematical dependence in the transverse momenta and rapidity separation of the two tagging jets.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121663947","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":"Top quark mass effects in HJ production at NLO","authors":"M. Kerner","doi":"10.22323/1.303.0023","DOIUrl":"https://doi.org/10.22323/1.303.0023","url":null,"abstract":"We present predictions for gluon-fusion Higgs boson production in association with one jet at next-to-leading order in QCD. The calculation is performed retaining the full dependence on the top-quark mass. The two-loop integrals appearing in the virtual corrections are calculated numerically using the program SecDec. We show how a change of master integrals can improve the stability and runtime of the calculation. We study the Higgs boson transverse momentum distribution and compare our predictions with approximated results.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"302 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116329411","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":"Production of Higgs bosons with large transverse momentum","authors":"K. Kudashkin","doi":"10.22323/1.303.0075","DOIUrl":"https://doi.org/10.22323/1.303.0075","url":null,"abstract":"Recent results on the Higgs plus jet production are reviewed. We have computed the two-loop amplitudes for $ gg to Hg $, $ qbar{q} to Hg $ and $ qg to Hq $ at large Higgs transverse momentum. It was the long-missing part of NLO corrections to the Higgs plus jet production above the top mass threshold. This result is combined with the real corrections to produce the Higgs boson transverse momentum distribution at NLO.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124601355","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 next generation of OpenLoops","authors":"Philipp Maierhöfer, M. Prausa","doi":"10.22323/1.303.0057","DOIUrl":"https://doi.org/10.22323/1.303.0057","url":null,"abstract":"We report on the development of a new generator for tree and 1-loop matrix elements based on the open-loops algorithm. It is designed to overcome the known shortcomings of the current OpenLoops generator and other existing tools. Key features are a fast on-the-fly process generator which does not require generating process dependent source code, a model agnostic design, supporting the full Standard Model with QCD and electroweak corrections, Beyond-the-Standard Model and Effective Field Theories, as well as interfaces to different reduction libraries, and multi-precision numerics.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127883316","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}
Johannes Broedel, C. Duhr, F. Dulat, B. Penante, L. Tancredi
{"title":"Elliptic polylogarithms and two-loop Feynman integrals","authors":"Johannes Broedel, C. Duhr, F. Dulat, B. Penante, L. Tancredi","doi":"10.22323/1.303.0005","DOIUrl":"https://doi.org/10.22323/1.303.0005","url":null,"abstract":"We review certain classes of iterated integrals that appear in the computation of Feynman integrals that involve elliptic functions. These functions generalise the well-known class of multiple polylogarithms to elliptic curves and are closely related to the elliptic multiple polylogarithms (eMPLs) studied in the mathematics literature. When evaluated at certain special values of the arguments, eMPLs reduce to another class of special functions, defined as iterated integrals of Eisenstein series. As a novel application of our formalism, we illustrate how a class of special functions introduced by Remiddi and one of the authors can always naturally be expressed in terms of either eMPLs or iterated integrals of Eisenstein series for the congruence subgroup $Gamma(6)$.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117110606","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":"Conformal Symmetry and Feynman Integrals","authors":"S. Zoia","doi":"10.22323/1.303.0037","DOIUrl":"https://doi.org/10.22323/1.303.0037","url":null,"abstract":"Singularities hidden in the collinear region around an external massless leg may lead to conformal symmetry breaking in otherwise conformally invariant finite loop momentum integrals. For an $ell$-loop integral, this mechanism leads to a set of linear $2$nd-order differential equations with a non-homogeneous part. The latter, due to the contact nature of the anomaly in momentum space, is determined by $(ell-1)$-loop information. Solving such differential equations in general is an open problem. In the case of 5-particle amplitudes up to two loops, the function space is known, and we can thus follow a bootstrap approach to write down the solution. As a first application of this method, we bootstrap the 6D penta-box integral.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"254 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115086043","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}
J. Ablinger, J. Bluemlein, P. Marquard, N. Rana, Carsten Schneider
{"title":"Massive three loop form factor in the planar limit","authors":"J. Ablinger, J. Bluemlein, P. Marquard, N. Rana, Carsten Schneider","doi":"10.22323/1.303.0009","DOIUrl":"https://doi.org/10.22323/1.303.0009","url":null,"abstract":"We present the color planar and complete light quark QCD contributions to the three loop heavy \u0000quark form factors in the case of vector, axial-vector, scalar and pseudo-scalar currents. We eval- \u0000uate the master integrals applying a new method based on differential equations for general bases, \u0000which is applicable for any first order factorizing systems. The analytic results are expressed in \u0000terms of harmonic polylogarithms and real-valued cyclotomic harmonic polylogarithms.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128278715","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":"Multiloop Euler-Heisenberg Lagrangians, Schwinger pair creation, and the QED N - photon amplitudes","authors":"I. Huet, M. R. Traubenberg, C. Schubert","doi":"10.22323/1.303.0035","DOIUrl":"https://doi.org/10.22323/1.303.0035","url":null,"abstract":"An update is given on our long-term effort to perform a three-loop check on the Affleck-Alvarez-Manton/Lebedev-Ritus exponentiation conjecture for the imaginary part of the Euler-Heisenberg Lagrangian, using 1+1 dimensional QED as a toy model. After reviewing the history and significance of the conjecture, we present trigonometric integral representations for the single electron loop contributions to the three-loop Lagrangian, and develop a symmetry-based method for the calculation of their weak-field expansion coefficients.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129872321","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}