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Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)最新文献

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Higher QCD corrections for inclusive semileptonic B decays 包含半光子B衰变的更高QCD校正
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-10-20 DOI: 10.22323/1.416.0017
M. Fael
{"title":"Higher QCD corrections for inclusive semileptonic B decays","authors":"M. Fael","doi":"10.22323/1.416.0017","DOIUrl":"https://doi.org/10.22323/1.416.0017","url":null,"abstract":"In these proceedings we review the calculation of the total decay rate for inclusive 𝐵 → 𝑋 𝑐 ℓ ¯ 𝜈 ℓ decays to higher orders in perturbative QCD. The partonic rate is obtained via an asymptotic expansion around the limit 1 − 𝑚 𝑐 / 𝑚 𝑏 ≪ 1. The same method can be used to compute kinematic moments in case no experimental cuts are applied, i.e. moments of the differential rate integrated over the whole phase space. We discuss the impact of the 𝑂 ( 𝛼 3 𝑠 ) corrections on the total semileptonic decay rate and the moments of the dilepton invariant mass 𝑞 2","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"11 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":"116912145","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}
引用次数: 0
Constructing Compact Ansätze for Scattering Amplitudes 构建紧凑Ansätze散射振幅
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-10-20 DOI: 10.22323/1.416.0038
Giuseppe De Laurentis, B. Page
{"title":"Constructing Compact Ansätze for Scattering Amplitudes","authors":"Giuseppe De Laurentis, B. Page","doi":"10.22323/1.416.0038","DOIUrl":"https://doi.org/10.22323/1.416.0038","url":null,"abstract":"In these proceedings, we discuss the recent approach of Ref. [1] for the construction of Ansätze for scattering amplitudes. The method builds powerful constraints on the analytic structure of the rational functions in amplitudes from numerical tests of their behavior close to singularity surfaces. We discuss how we systematically understand these surfaces and how the singular behavior of the rational function can be incorporated into an Ansatz using techniques from algebraic geometry. To perform the numerical sampling, we make use of 𝑝 -adic numbers, a number-theoretical field that can be considered a cousin of finite fields. The 𝑝 -adic numbers admit a non-trivial absolute value, as well as analytic functions such as the 𝑝 -adic logarithm. We provide a detailed example of the approach applied to an NMHV tree amplitude and discuss the efficacy when applied to the two-loop leading-color amplitude for three-photon production at hadron colliders.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"46 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":"132994876","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}
引用次数: 2
Identified hadrons in antenna subtraction at NNLO 在NNLO天线减法中识别强子
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-10-20 DOI: 10.22323/1.416.0060
G. Stagnitto, T. Gehrmann
{"title":"Identified hadrons in antenna subtraction at NNLO","authors":"G. Stagnitto, T. Gehrmann","doi":"10.22323/1.416.0060","DOIUrl":"https://doi.org/10.22323/1.416.0060","url":null,"abstract":"Processes with identified hadrons require the introduction of fragmentation functions to describe the hadronisation of a quark or a gluon into the observed hadron particle. Such identified particles in the final state make the treatment of infrared divergences more subtle, because of additional collinear divergences to be handled. We extend the antenna subtraction method to include hadron fragmentation processes up to next-to-next-to-leading order (NNLO) in QCD in 𝑒 + 𝑒 − collisions. To this end, we introduce new double-real and real-virtual fragmentation antenna functions in the final-final kinematics, with associated phase space mappings. These antenna functions are integrated over the relevant phase spaces, retaining their dependence on the momentum fraction of the fragmenting parton.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"24 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":"126729938","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}
引用次数: 0
Three-loop planar integrals for four-point one-mass processes 四点单质量过程的三环平面积分
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-10-20 DOI: 10.22323/1.416.0005
N. Syrrakos, D. Canko
{"title":"Three-loop planar integrals for four-point one-mass processes","authors":"N. Syrrakos, D. Canko","doi":"10.22323/1.416.0005","DOIUrl":"https://doi.org/10.22323/1.416.0005","url":null,"abstract":"In this contribution we will present analytic expressions for the two tennis-court integral families relevant to three-loop 2 → 2 scattering processes involving one massive external particle and massless propagators in terms of Goncharov polylogarithms of up to transcendental weight six. Additionally, we will also present analytic expressions for physical kinematics for the ladder-box family and the two tennis-court families in terms of real-valued polylogarithmic functions, making these results well-suited for phenomenological applications.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"5 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":"128876602","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}
引用次数: 0
Mixed QCD-Electroweak corrections to the Drell-Yan process in the high invariant mass region 高不变质量区drel - yan过程的混合qcd -电弱修正
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-10-20 DOI: 10.22323/1.416.0069
C. Signorile-Signorile
{"title":"Mixed QCD-Electroweak corrections to the Drell-Yan process in the high invariant mass region","authors":"C. Signorile-Signorile","doi":"10.22323/1.416.0069","DOIUrl":"https://doi.org/10.22323/1.416.0069","url":null,"abstract":"We report on the calculation of mixed QCD-electroweak corrections to the neutral-current-mediated production of a pair of massless leptons in the high invariant mass region. We find these corrections to be O(− 1% ) at relatively low values of the dilepton invariant mass, around 200 GeV. For invariant masses larger than 1 TeV, we observe that mixed corrections are larger, O(− 3% ) , and are well reproduced by the product of next-to-leading order QCD and electroweak corrections. These results emphasise the importance of mixed QCD-electroweak corrections in Drell-Yan process studies, where percent-level precision is being targeted.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"38 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":"127291325","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}
引用次数: 0
Automated choice of the best renormalization scheme 自动选择最佳重整方案
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-10-20 DOI: 10.22323/1.416.0077
S. Heinemeyer, F. Pahlen
{"title":"Automated choice of the best renormalization scheme","authors":"S. Heinemeyer, F. Pahlen","doi":"10.22323/1.416.0077","DOIUrl":"https://doi.org/10.22323/1.416.0077","url":null,"abstract":"High-precision predictions in BSM models require calculations at the loop-level and thus a renormalization of (some of) the BSM parameter. Here many choices for the renormalization scheme (RS) are possible. A given RS can be well suited to yield ``stable'' and ``well behaved'' higher-order corrections in one part of the BSM parameter space, but can fail completely in other parts. The latter may not even be noticed numerically if an isolated parameter point is investigated. Here we review a new method for choosing a ``well behaved'' RS. We demonstrate the feasibility of our new method in the chargino/neutralino sector of the Minimal Supersymmetric Standard Model (MSSM), but stress the general applicability of our method to all types of BSM models.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"13 4 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":"128943977","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}
引用次数: 0
UV and IR rational terms in two-loop amplitudes: first insights 双环振幅中的UV和IR有理项:初步见解
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-10-20 DOI: 10.22323/1.416.0072
Hantian Zhang
{"title":"UV and IR rational terms in two-loop amplitudes: first insights","authors":"Hantian Zhang","doi":"10.22323/1.416.0072","DOIUrl":"https://doi.org/10.22323/1.416.0072","url":null,"abstract":"In this proceeding, we review the construction of UV rational terms at two loops, and present the first insights of the cancellation mechanism of two-loop IR rational terms with an example in massive QED. The rational terms are crucial ingredients that are needed for the four-dimensional calculation of scattering amplitudes, which is suitable for automation in a numerical framework. Within automated one-loop tools, the numerator of 𝐷 -dimensionally regularised loop amplitudes are usually constructed through numerical algorithms in 𝐷 = 4 dimensions, while the contributions of the missing ( 𝐷 − 4 ) -dimensional parts can be reconstructed a posteriori by means of rational counterterms. At two loops with four-dimensional numerators, we show that the missing ( 𝐷 − 4 ) part can also be reconstructed through the process-independent two-loop rational terms in any renormalisable theories. This opens the door to the development of an efficient two-loop amplitudes automation in the future.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"114 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":"128150900","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}
引用次数: 1
Towards the automation of the Local Analytic Sector Subtraction 局部解析扇区减法的自动化研究
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-10-20 DOI: 10.22323/1.416.0056
S. Uccirati, Gloria Bertolotti, L. Magnea, G. Pelliccioli, A. Ratti, C. Signorile-Signorile, P. Torrielli
{"title":"Towards the automation of the Local Analytic Sector Subtraction","authors":"S. Uccirati, Gloria Bertolotti, L. Magnea, G. Pelliccioli, A. Ratti, C. Signorile-Signorile, P. Torrielli","doi":"10.22323/1.416.0056","DOIUrl":"https://doi.org/10.22323/1.416.0056","url":null,"abstract":"We present the state of the art of the Local Analytic Sector subtraction. The scheme is now complete at NLO in the massless case for the treatment of initial- and final-state radiations. Its flexibility has been improved by the introduction of damping factors , which can be tuned to reduce numerical instabilities, though preserving the simplicity of the algorithm. The same degree of universality has been reached at NNLO for final-state radiation, where we derived fully analytic and compact results for all integrated counterterms. This allows us to explicitly check the cancellation of the virtual infrared singularities in generic processes with massless final-state partons.","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":"126349599","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}
引用次数: 2
Taming a resurgent ultra-violet renormalon 驯服一种复活的紫外线
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-09-21 DOI: 10.22323/1.416.0013
M. Borinsky, D. Broadhurst
{"title":"Taming a resurgent ultra-violet renormalon","authors":"M. Borinsky, D. Broadhurst","doi":"10.22323/1.416.0013","DOIUrl":"https://doi.org/10.22323/1.416.0013","url":null,"abstract":"Perturbative expansions in quantum field theory diverge for at least two reasons: the number of Feynman diagrams increases dramatically with the loop number and the process of renormalization may make the contribution of some diagrams large. We give an example of the second problem, from an ultra-violent renormalon of $phi^3$ theory in 6 dimensions, where we can compute to very high loop-order. Taming this renormalon involves recent work on resurgence. This challenge is much more demanding than the corresponding problem for Yukawa theory in 4 dimensions.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123174923","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}
引用次数: 0
Strongly-ordered infrared limits for subtraction counterterms from factorisation 因式分解中减法反项的强序红外极限
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-09-13 DOI: 10.22323/1.416.0075
L. Magnea, Calum Milloy, C. Signorile-Signorile, P. Torrielli, S. Uccirati
{"title":"Strongly-ordered infrared limits for subtraction counterterms from factorisation","authors":"L. Magnea, Calum Milloy, C. Signorile-Signorile, P. Torrielli, S. Uccirati","doi":"10.22323/1.416.0075","DOIUrl":"https://doi.org/10.22323/1.416.0075","url":null,"abstract":"After a brief introduction to the problem of subtraction of infrared divergences for high-order collider observables, we present a preliminary study of strongly-ordered soft and collinear multiple radiation from the point of view of factorisation. We show that the matrix elements of fields and Wilson lines that describe soft and collinear radiation in factorised scattering amplitudes can be re-factorised in strongly-ordered limits, providing a systematic method to compute them, to char-acterise their singularity structure, and to build local subtraction counterterms for strongly-ordered configurations. Our results provide tools for a detailed organisation of subtraction algorithms, in principle to all orders in perturbation theory.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"142 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116530459","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}
引用次数: 3
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