{"title":"Precision measurements at the LHC","authors":"S. Amoroso, Cms Collaborations","doi":"10.22323/1.375.0001","DOIUrl":"https://doi.org/10.22323/1.375.0001","url":null,"abstract":"","PeriodicalId":440413,"journal":{"name":"Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124769908","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}
B. Ward, S. Jadach, W. Płaczek, M. Skrzypek, Z. Was, S. A. Y. B. University, Waco, Tx, Usa, I. Physics, Kraków, Pl, J. University, The Citadel, Charleston, Sc
IR-improvement based on amplitude-level resummation allows one to control unintegrable results in quantum field theory with arbitrary precision in principle. We illustrate such resummation in specific examples in precision LHC and FCC physics and in quantum gravity.
{"title":"Role of IR-improvement in Precision LHC/FCC Physics and in Quantum Gravity","authors":"B. Ward, S. Jadach, W. Płaczek, M. Skrzypek, Z. Was, S. A. Y. B. University, Waco, Tx, Usa, I. Physics, Kraków, Pl, J. University, The Citadel, Charleston, Sc","doi":"10.22323/1.375.0086","DOIUrl":"https://doi.org/10.22323/1.375.0086","url":null,"abstract":"IR-improvement based on amplitude-level resummation allows one to control unintegrable results in quantum field theory with arbitrary precision in principle. We illustrate such resummation in specific examples in precision LHC and FCC physics and in quantum gravity.","PeriodicalId":440413,"journal":{"name":"Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)","volume":"03 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127373679","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}
We present an extension of the renormalisation procedure based on the R-operation in $D$ dimensions at two-loop level, in which the numerators of all Feynman diagrams can be constructed in four dimensions, and the rational terms stemming from the interplay of $(D-4)$-dimensional numerator parts and UV poles are fully reconstructed from a finite set of universal local counterterms. This represents an extension of the concept of rational terms of type $R_2$ to two loops. We provide a general method to compute one and two-loop rational counterterms from massive one-scale tadpole integrals. Finally, we present the full set of rational counterterms of UV origin for QED up to two-loop order.
{"title":"Rational terms in two-loop calculations","authors":"S. Pozzorini, Hantian Zhang, M. Zoller","doi":"10.22323/1.375.0081","DOIUrl":"https://doi.org/10.22323/1.375.0081","url":null,"abstract":"We present an extension of the renormalisation procedure based on the R-operation in $D$ dimensions at two-loop level, in which the numerators of all Feynman diagrams can be constructed in four dimensions, and the rational terms stemming from the interplay of $(D-4)$-dimensional numerator parts and UV poles are fully reconstructed from a finite set of universal local counterterms. \u0000This represents an extension of the concept of rational terms of type $R_2$ to two loops. We provide a general method to compute one and two-loop rational counterterms from massive one-scale tadpole integrals. \u0000Finally, we present the full set of rational counterterms of UV origin for QED up to two-loop order.","PeriodicalId":440413,"journal":{"name":"Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129080925","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}
Among the unitarity cuts of massless 4-loop propagators two classes have remained unknown until recently: 2-loop 3-particle cuts, and 1-loop 4-particle cuts. In this article we shall discuss the calculation that completes the master integrals for these cuts: both the motivation and the methods (including dimensional recurrence relations and direct integration at higher space-time dimensions).
{"title":"Master integrals for all unitarity cuts of massless 4-loop propagators","authors":"V. Magerya, A. Pikelner","doi":"10.22323/1.375.0049","DOIUrl":"https://doi.org/10.22323/1.375.0049","url":null,"abstract":"Among the unitarity cuts of massless 4-loop propagators two classes have remained unknown until recently: 2-loop 3-particle cuts, and 1-loop 4-particle cuts. In this article we shall discuss the calculation that completes the master integrals for these cuts: both the motivation and the methods (including dimensional recurrence relations and direct integration at higher space-time dimensions).","PeriodicalId":440413,"journal":{"name":"Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115791996","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}
M. Heller, A. Manteuffel, R. Schabinger, H. Spiesberger
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 next important step for a better theoretical understanding is the complete calculation of the mixed QCD-EW corrections of order $alpha_salpha$. In my talk, I report on the first complete calculation of the virtual two-loop corrections of order $alphaalpha_s$ to the lepton-pair production cross section. The calculation is carried out analytically using tensor reduction, integration-by-parts relations and the method of differential equations. We validate a previous calculation of the subset of mixed QCD-QED corrections and show how the jet and soft functions of that reference can be used to subtract the infrared divergences of the complete mixed QCD-electroweak virtual corrections.
{"title":"Mixed QCD-EW two-loop corrections to Drell-Yan production","authors":"M. Heller, A. Manteuffel, R. Schabinger, H. Spiesberger","doi":"10.22323/1.375.0042","DOIUrl":"https://doi.org/10.22323/1.375.0042","url":null,"abstract":"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 next important step for a better theoretical understanding is the complete calculation of the mixed QCD-EW corrections of order $alpha_salpha$. In my talk, I report on the first complete calculation of the virtual two-loop corrections of order $alphaalpha_s$ to the lepton-pair production cross section. The calculation is carried out analytically using tensor reduction, integration-by-parts relations and the method of differential equations. We validate a previous calculation of the subset of mixed QCD-QED corrections and show how the jet and soft functions of that reference can be used to subtract the infrared divergences of the complete mixed QCD-electroweak virtual corrections.","PeriodicalId":440413,"journal":{"name":"Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125775785","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}
We outline the computational details to obtain mixed EW-QCD corrections to on-shell production of a single vector boson at the LHC at two-loop level. We use the novel method of differential equation to obtain the pure virtual, real-virtual and double-real master integrals. Finally, we obtain the O(α αs) corrections to the total partonic cross section of the process qq → Z + X.
{"title":"NNLO mixed EW-QCD corrections to single vector boson production","authors":"R. Bonciani, F. Buccioni, N. Rana, A. Vicini","doi":"10.22323/1.375.0040","DOIUrl":"https://doi.org/10.22323/1.375.0040","url":null,"abstract":"We outline the computational details to obtain mixed EW-QCD corrections to on-shell production of a single vector boson at the LHC at two-loop level. We use the novel method of differential equation to obtain the pure virtual, real-virtual and double-real master integrals. Finally, we obtain the O(α αs) corrections to the total partonic cross section of the process qq → Z + X.","PeriodicalId":440413,"journal":{"name":"Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)","volume":"434 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123421312","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}
Recently, there has been significant progress in computing scattering amplitudes in the high- energy limit using rapidity evolution equations. We describe the state-of-the-art and demonstrate the interplay between exponentiation of high-energy logarithms and that of infrared singularities. The focus in this talk is the imaginary part of 2 to 2 partonic amplitudes, which can be determined by solving the BFKL equation. We demonstrate that the wavefunction is infrared finite, and that its evolution closes in the soft approximation. Within this approximation we derive a closed- form solution for the amplitude in dimensional regularization, which fixes the soft anomalous dimension to all orders at NLL accuracy. We then turn to finite contributions of the amplitude and show that the remaining hard contributions can be determined algorithmically, by iteratively solving the BFKL equation in exactly two dimensions within the class of single-valued harmonic polylogarithms. To conclude we present numerical results and analyse large-order behaviour of the amplitude.
{"title":"The High-Energy Limit of 2 to 2 Partonic Scattering Amplitudes","authors":"E. Gardi, S. Caron-Huot, J. Reichel, L. Vernazza","doi":"10.22323/1.375.0050","DOIUrl":"https://doi.org/10.22323/1.375.0050","url":null,"abstract":"Recently, there has been significant progress in computing scattering amplitudes in the high- energy limit using rapidity evolution equations. We describe the state-of-the-art and demonstrate the interplay between exponentiation of high-energy logarithms and that of infrared singularities. The focus in this talk is the imaginary part of 2 to 2 partonic amplitudes, which can be determined by solving the BFKL equation. We demonstrate that the wavefunction is infrared finite, and that its evolution closes in the soft approximation. Within this approximation we derive a closed- form solution for the amplitude in dimensional regularization, which fixes the soft anomalous dimension to all orders at NLL accuracy. We then turn to finite contributions of the amplitude and show that the remaining hard contributions can be determined algorithmically, by iteratively solving the BFKL equation in exactly two dimensions within the class of single-valued harmonic polylogarithms. To conclude we present numerical results and analyse large-order behaviour of the amplitude.","PeriodicalId":440413,"journal":{"name":"Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128799258","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
We present recent developments of the local analytic sector subtraction of infrared singularities for final state real radiation at NNLO in QCD.
本文介绍了QCD中NNLO末态实辐射红外奇点局部解析扇区减法的最新进展。
{"title":"Local analytic sector subtraction for final state radiation at NNLO","authors":"L. Magnea, E. Maina, G. Pelliccioli, C. Signorile-Signorile, P. Torrielli, S. Uccirati","doi":"10.22323/1.375.0057","DOIUrl":"https://doi.org/10.22323/1.375.0057","url":null,"abstract":"We present recent developments of the local analytic sector subtraction of infrared singularities for final state real radiation at NNLO in QCD.","PeriodicalId":440413,"journal":{"name":"Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123368583","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}
We report on the calculation of the two-loop penguin amplitudes in non-leptonic B decays in the framework of QCD factorization. We discuss the computation of this genuine two-loop, two-scale problem and provide details on the matching from QCD onto SCET, the evaluation of the master integrals, and the convolution of the hard scattering kernels with the light-cone distribution amplitude of the light meson. Preliminary results on the size of the two-loop correction are given.
{"title":"Non-leptonic B-decays at two loops in QCD Factorization","authors":"G. Bell, M. Beneke, T. Huber, Xin-Qiang Li","doi":"10.22323/1.375.0032","DOIUrl":"https://doi.org/10.22323/1.375.0032","url":null,"abstract":"We report on the calculation of the two-loop penguin amplitudes in non-leptonic B decays in the framework of QCD factorization. We discuss the computation of this genuine two-loop, two-scale problem and provide details on the matching from QCD onto SCET, the evaluation of the master integrals, and the convolution of the hard scattering kernels with the light-cone distribution amplitude of the light meson. Preliminary results on the size of the two-loop correction are given.","PeriodicalId":440413,"journal":{"name":"Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129198910","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}
We present the next-to-leading power (NLP) factorization formula for the $qbar{q}to gamma^*+X$ channel of the Drell-Yan production near the kinematic threshold limit. The formalism used for the computation of next-to-leading power corrections within soft-collinear effective field theory is introduced, we discuss the emergence of new objects, the {it{NLP collinear functions}}, and define them through an operator matching equation. We review the leading power factorization before extending it to subleading powers. We also present the one-loop result for the newly introduced collinear function, and demonstrate explicitly conceptual issues in performing next-to-leading logarithmic resummation at next-to-leading power.
{"title":"Next-to-leading power threshold factorization for Drell-Yan production","authors":"S. Jaskiewicz","doi":"10.22323/1.375.0039","DOIUrl":"https://doi.org/10.22323/1.375.0039","url":null,"abstract":"We present the next-to-leading power (NLP) factorization formula for the $qbar{q}to gamma^*+X$ channel of the Drell-Yan production near the kinematic threshold limit. The formalism used for the computation of next-to-leading power corrections within soft-collinear effective field theory is introduced, we discuss the emergence of new objects, the {it{NLP collinear functions}}, and define them through an operator matching equation. We review the leading power factorization before extending it to subleading powers. We also present the one-loop result for the newly introduced collinear function, and demonstrate explicitly conceptual issues in performing next-to-leading logarithmic resummation at next-to-leading power.","PeriodicalId":440413,"journal":{"name":"Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124917722","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}
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