{"title":"Two- and three-loop QCD corrections to the width difference in the $B_s - bar{B}_s$ system.","authors":"Vladyslav Shtabovenko","doi":"10.22323/1.416.0054","DOIUrl":"https://doi.org/10.22323/1.416.0054","url":null,"abstract":"","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130605539","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":"Automating antenna subtraction in color space","authors":"M. Marcoli","doi":"10.22323/1.416.0061","DOIUrl":"https://doi.org/10.22323/1.416.0061","url":null,"abstract":"We present the colourful antenna subtraction method, a reformulation of the antenna subtraction scheme for next-to-next-to-leading order (NNLO) calculations in QCD. The aim of this new approach is to achieve a general and process-independent construction of the subtraction infrastructure at NNLO. We rely on the predictability of the infrared singularity structure of one- and two-loop amplitudes in colour space to generate virtual subtraction terms and, subsequently, we define an automatable procedure to systematically infer the expression of the real subtraction terms, guided by the correspondence between unintegrated and integrated antenna functions. To demonstrate the applicability of the described approach, we compute the full colour NNLO correction to gluonic three-jet production pp ( gg ) → ggg , for gluons-only subprocesses.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121205352","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 helicity amplitudes for W/Z boson pair production in gluon fusion with exact top mass dependence","authors":"Christian Brønnum-Hansen, Chen-Yu Wang","doi":"10.22323/1.416.0030","DOIUrl":"https://doi.org/10.22323/1.416.0030","url":null,"abstract":"We compute the top quark contribution to the two-loop amplitudes for on-shell W / Z boson pair production in gluon fusion, gg → WW and gg → ZZ . Exact dependence on the top quark mass is retained, the bottom quark is considered massless. Integral reduction is performed numerically for each phase space point and the master integrals are evaluated using the auxiliary mass flow method. This allows for fast computation of the amplitudes to very high precision.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123696276","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":"Mixed QCD-EW corrections to the Drell-Yan process","authors":"L. Buonocore","doi":"10.22323/1.416.0008","DOIUrl":"https://doi.org/10.22323/1.416.0008","url":null,"abstract":"Precise predictions of hard scattering processes at the LHC usually require the inclusion of NNLO corrections in QCD and NLO in EW. For some specific cases, this might not be sufficient to match the experimental accuracy, and higher-order radiative contributions must be taken into account too. In such situations, effects due the interplay among strong and electroweak interactions may be relevant. The Drell-Yan process provides a promiment example of ultra precision physics at the LHC. We recently completed the first calculation of the mixed QCD-EW corrections to the neutral current Drell-Yan process for massive leptons. In this proceeding, we elaborate on the comparison of the exact two-loop virtual amplitude with its approximation by a pole expansion and show phenomelogical results in the region of high invariant masses of the lepton pair system.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129809982","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":"Tensor decomposition for multiloop, multileg helicity amplitudes","authors":"L. Tancredi","doi":"10.22323/1.416.0020","DOIUrl":"https://doi.org/10.22323/1.416.0020","url":null,"abstract":"In this contribution I will present new ideas to simplify the form factor method in order to compute helicity amplitudes for multiloop multileg scattering amplitudes, directly in the so-called ’t Hooft-Veltman scheme, avoiding evanescent structures and ambiguities in the scheme definitions.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"1999 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125721054","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":"ZH Production in Gluon Fusion at NLO","authors":"S. Jones","doi":"10.22323/1.416.0029","DOIUrl":"https://doi.org/10.22323/1.416.0029","url":null,"abstract":"We summarise the calculation of the two-loop next-to-leading order QCD corrections to Z boson plus Higgs boson production in gluon fusion. The result presented includes full top-quark mass effects and is obtained by combining two-loop virtual contributions computed numerically, using sector decomposition, with virtual contributions obtained in a high-energy expansion. We find that the corrections enhance the cross-section by approximately a factor of 2 and reduce the renormalisation and factorisation scale uncertainty by around 30%. For a centre of mass energy of √ 𝑠 = 13 . 6 TeV we obtain We also observe that the choice of top-quark mass renormalisation scheme can have a significant impact on the prediction.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131743860","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}
C. Papadopoulos, A. Kardos, A. Smirnov, N. Syrrakos, C. Wever
{"title":"Progress in two-loop Master Integrals computation","authors":"C. Papadopoulos, A. Kardos, A. Smirnov, N. Syrrakos, C. Wever","doi":"10.22323/1.416.0021","DOIUrl":"https://doi.org/10.22323/1.416.0021","url":null,"abstract":"Over the last years, master integral families at one, two and three loops, with up to five external particles, including off-shell legs and internal masses have been computed analytically based on the Simplified Differential Equations approach. In this presentation we focus on the latest results for two-loop five-point Feynman Integrals with one off-shell leg. The three planar and one of the non-planar families have been fully expressed in terms of Goncharov polylogarithms. For the other two non-planar families, we introduce a new approach to obtain the boundary terms and establish a one-dimensional integral representation of the master integrals in terms of generalised polylogarithms, when the alphabet contains non-factorizable square roots. The results are relevant to the study of NNLO QCD corrections for W , Z and Higgs-boson production in association with two hadronic jets. and in -","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123105513","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. Ruf, Z. Bern, Julio Parra-Martinez, R. Roiban, Chia-Hsien Shen, M. Solon, M. Zeng
{"title":"Scattering amplitudes and conservative dynamics at the fourth post-Minkowskian order","authors":"M. Ruf, Z. Bern, Julio Parra-Martinez, R. Roiban, Chia-Hsien Shen, M. Solon, M. Zeng","doi":"10.22323/1.416.0051","DOIUrl":"https://doi.org/10.22323/1.416.0051","url":null,"abstract":"We review recent progress using amplitudes methods to obtain new results for the conservative classical scattering of two massive black holes at order O( 𝐺 4 ) . We include contributions from both potential and radiation modes which effect the conservative dynamics through the tail effect. We compute the 2 → 2 scattering amplitudes and extract the radial action through the amplitude-action formula and derive the scattering angle. By matching we also obtain a Hamiltonian valid for arbitrary scattering trajectories.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132591375","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":"Vector and axial-vector coefficient functions for DVCS at NNLO","authors":"A. Manashov, V. Braun, S. Moch, J. Schoenleber","doi":"10.22323/1.416.0074","DOIUrl":"https://doi.org/10.22323/1.416.0074","url":null,"abstract":"We calculate the two-loop coefficient functions for the (axial-) vector flavor-nonsinglet contributions in processes with one real and one virtual photon. We present the analytic expressions for the coefficient functions in momentum fraction space and estimate their effect on the physical observable. The calculated NNLO corrections appear to be rather large and have to be taken into account.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116667476","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":"Kira and the block-triangular form","authors":"J. Usovitsch","doi":"10.22323/1.416.0071","DOIUrl":"https://doi.org/10.22323/1.416.0071","url":null,"abstract":"For many state-of-the-art cross section computations the standard approach of Feynman integral reduction with the Laporta algorithm is the main bottleneck of the computation. We study a new approach of Feynman integral reduction by introducing a block-triangular form, which is a smaller system of equations compared to the system of equations which is generated with the Laporta algorithm. The construction of the block-triangular form and its implementation in the program Kira is the main interest of this report.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122203368","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}