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

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Recent progress in intersection theory for Feynman integrals decomposition. 费曼积分分解的交理论研究进展。
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-09-03 DOI: 10.22323/1.416.0058
V. Chestnov
{"title":"Recent progress in intersection theory for Feynman integrals decomposition.","authors":"V. Chestnov","doi":"10.22323/1.416.0058","DOIUrl":"https://doi.org/10.22323/1.416.0058","url":null,"abstract":"High precision calculations in perturbative QFT often require evaluation of big collection of Feynman integrals. Complexity of this task can be greatly reduced via the usage of linear identities among Feynman integrals. Based on mathematical theory of intersection numbers, recently a new method for derivation of such identities and decomposition of Feynman integrals was introduced and applied to many non-trivial examples. In this note based on [1] we discuss the latest developments in algorithms for the evaluation of intersection numbers, and their application to the reduction of Feynman integrals.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116995440","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
DIS coefficient functions at four loops in QCD and beyond DIS系数在QCD及以后的四个环上起作用
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-08-23 DOI: 10.22323/1.416.0047
S. Moch, B. Ruijl, Takahiro Ueda, J. Vermaseren, A. Vogt
{"title":"DIS coefficient functions at four loops in QCD and beyond","authors":"S. Moch, B. Ruijl, Takahiro Ueda, J. Vermaseren, A. Vogt","doi":"10.22323/1.416.0047","DOIUrl":"https://doi.org/10.22323/1.416.0047","url":null,"abstract":"We report results for the lowest even- N moments of the flavor-nonsinglet structure functions F 2 and F L in QCD at the fourth order in the perturbative expansion in the strong coupling constant α s . Our results are presented in numerical form and we compare them with the leading and subleading terms of the threshold expansion for large values of N , which corresponds to the limit x → 1.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129347225","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
Three-Loop Four-Point Scattering Amplitudes in Massless Gauge Theories 无质量规范理论中的三回四点散射振幅
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-08-17 DOI: 10.22323/1.416.0022
Amlan Chakraborty, Giulio Gambuti
{"title":"Three-Loop Four-Point Scattering Amplitudes in Massless Gauge Theories","authors":"Amlan Chakraborty, Giulio Gambuti","doi":"10.22323/1.416.0022","DOIUrl":"https://doi.org/10.22323/1.416.0022","url":null,"abstract":"We present novel techniques for the computation of three-loop four-parton scattering amplitudes in full color, non-planar gauge theories. We elaborate on how the analytic results for these amplitudes can be used to confirm the conjectured infrared structure of QCD up to three loops and how all-orders data can be extracted from their high-energy limit.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129037181","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
Azimuthally-correlated contributions to QCD transverse-momentum resummation at $mathcal{O}(alpha_{rm S}^2)$ $mathcal{O}(alpha_{rm S}^2)$的QCD横向动量恢复的方位相关贡献
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-08-15 DOI: 10.22323/1.416.0045
P. K. Dhani
{"title":"Azimuthally-correlated contributions to QCD transverse-momentum resummation at $mathcal{O}(alpha_{rm S}^2)$","authors":"P. K. Dhani","doi":"10.22323/1.416.0045","DOIUrl":"https://doi.org/10.22323/1.416.0045","url":null,"abstract":"Singular factors originating from the QCD factorisation of scattering amplitudes in soft and collinear limits play a prominent role in both organising and computing high-order perturbative contributions to hard-scattering cross sections. In this talk, we start from the factorisation structure of scattering amplitudes in the collinear limit, and we introduce collinear functions that have a process-independent structure. These collinear functions, which are defined at the fully-differential level, can then be integrated over the appropriate observable-dependent phase space to compute logarithmically-enhanced contributions to the corresponding observable. For transverse-momentum dependent observables, we show how the collinear functions can be defined without introducing what is known as rapidity divergences in the literature. We present the results of explicit computations of the collinear functions up to next-to-next-to-leading order in the QCD perturbation theory.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128321367","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
Summing Feynman diagrams in the worldline formalism 对世界线形式主义中的费曼图求和
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-08-13 DOI: 10.22323/1.416.0052
N. Ahmadiniaz, J. P. Edwards, Cristhiam Lopez-Arcos, M. Lopez-Lopez, C. M. Mata, J. Nicasio, C. Schubert
{"title":"Summing Feynman diagrams in the worldline formalism","authors":"N. Ahmadiniaz, J. P. Edwards, Cristhiam Lopez-Arcos, M. Lopez-Lopez, C. M. Mata, J. Nicasio, C. Schubert","doi":"10.22323/1.416.0052","DOIUrl":"https://doi.org/10.22323/1.416.0052","url":null,"abstract":"The worldline formalism shares with string theory the property that it allows one to write down master integrals that e(cid:27)ectively combine the contributions of many Feynman diagrams. While at the one-loop level these diagrams di(cid:27)er only by the position of the external legs along a (cid:28)xed line or loop, at multiloop they generally involve di(cid:27)erent topolo-gies. Here we summarize various e(cid:27)orts that have been made over the years to exploit this property in a computationally meaningful way. As a (cid:28)rst example, we show how to generalize the Landau-Khalatnikov-Fradkin formula for the non-perturbative gauge transformation of the fermion propagator in QED to the general 2 n - point case by pure manipulations at the path-integral level. At the parameter-integral level, we show how to integrate out individual photons in the low-energy expansion, and then sketch a recently introduced general framework for the analytical evaluation of such worldline integrals involving a reduction to quantum mechanics on the circle and the relation between inverse derivatives and Bernoulli polynomials.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116267455","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
Yang–Mills All-Plus: Two Loops for the Price of One Yang-Mills All-Plus:一环一环
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-08-12 DOI: 10.22323/1.416.0031
D. Kosower, Sebastian Pogel
{"title":"Yang–Mills All-Plus: Two Loops for the Price of One","authors":"D. Kosower, Sebastian Pogel","doi":"10.22323/1.416.0031","DOIUrl":"https://doi.org/10.22323/1.416.0031","url":null,"abstract":"We present work on two-loop amplitudes in pure Yang–Mills theory with all gluons of identical helicity. We show how to obtain their rational terms — the hardest parts to compute — via well-understood one-loop unitarity techniques.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116212416","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
Automated Calculation of Beam Functions at NNLO NNLO波束函数的自动计算
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-08-09 DOI: 10.22323/1.416.0026
G. Bell, Kevin Brune, Goutam Das, M. Wald
{"title":"Automated Calculation of Beam Functions at NNLO","authors":"G. Bell, Kevin Brune, Goutam Das, M. Wald","doi":"10.22323/1.416.0026","DOIUrl":"https://doi.org/10.22323/1.416.0026","url":null,"abstract":"We present an automated framework for the calculation of beam functions that describe collinear initial-state radiation at hadron colliders at next-to-next-to leading order (NNLO) in perturbation theory. By exploiting the infrared behaviour of the collinear matrix elements, we factorise the phase-space singularities with suitable observable-independent parametrisations. Our numerical approach applies to a large class of collider observables, and as a check of its validity, we compute the quark beam functions for transverse-momentum resummation and N-jettiness, which are known analytically at this order, finding excellent agreement.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115119466","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
Gravity in binary systems at the fifth and sixth post-Newtonian order 后牛顿五阶和后牛顿六阶双星系统中的重力
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-08-09 DOI: 10.22323/1.416.0012
A. Maier, J. Blümlein, P. Marquard, G. Schäfer
{"title":"Gravity in binary systems at the fifth and sixth post-Newtonian order","authors":"A. Maier, J. Blümlein, P. Marquard, G. Schäfer","doi":"10.22323/1.416.0012","DOIUrl":"https://doi.org/10.22323/1.416.0012","url":null,"abstract":"Binary sources of gravitational waves in the early inspiral phase are accurately described by a post-Newtonian expansion in small velocity and weak interaction. We compute the conservative dynamics to fifth and partial sixth order using a non-relativistic effective field theory. We give predictions for central observables and determine the required coefficients for the construction of an Effective One-Body Hamiltonian, extending the applicability of our results to the late inspiral and merger phases.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"105 10","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131893608","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
Gamma5 in dimensional regularization - a no-compromise approach using the BMHV scheme 维度正则化中的Gamma5 -使用BMHV方案的不妥协方法
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-08-04 DOI: 10.22323/1.416.0011
Hermes B'elusca-Maito, A. Ilakovac, Marija Madjor-Bovzinovi'c, Paul Kuhler, D. Stockinger
{"title":"Gamma5 in dimensional regularization - a no-compromise approach using the BMHV scheme","authors":"Hermes B'elusca-Maito, A. Ilakovac, Marija Madjor-Bovzinovi'c, Paul Kuhler, D. Stockinger","doi":"10.22323/1.416.0011","DOIUrl":"https://doi.org/10.22323/1.416.0011","url":null,"abstract":"𝛾 5 is notoriously difficult to define in 𝐷 dimensions. The traditional BMHV scheme employs a non-anticommuting 𝛾 5 . Its key advantage is mathematical consistency and the existence of all-order proofs. Its disadvantage is the spurious breaking of gauge invariance in chiral gauge theories like the electroweak standard model. Our research programme aims to determine the special finite counterterms which are necessary to restore gauge invariance, to allow more straightforward applications of the BMHV scheme and to cross-check alternative schemes. In these proceedings we present the key concepts and methods, and we outline the calculational procedure and present results for an abelian gauge theory at the 2-loop level. An important observation is the simplicity of the results — three types of symmetry-restoring counterterms are sufficient at the 2-loop level.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"2 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120985100","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
NNLO Photon Production with Realistic Photon Isolation 具有实际光子隔离的NNLO光子产生
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-08-04 DOI: 10.22323/1.416.0034
Robin Schuermann, Xuan Chen, T. Gehrmann, N. Glover, M. Höfer, A. Huss
{"title":"NNLO Photon Production with Realistic Photon Isolation","authors":"Robin Schuermann, Xuan Chen, T. Gehrmann, N. Glover, M. Höfer, A. Huss","doi":"10.22323/1.416.0034","DOIUrl":"https://doi.org/10.22323/1.416.0034","url":null,"abstract":"Isolated photon production at hadron colliders proceeds via direct production and fragmentation processes. Theory predictions for the isolated photon and photon-plus-jet cross section often impose idealised photon isolation criteria, eliminating the fragmentation contribution and introducing a systematic uncertainty in the comparison to data. We present NNLO predictions for the photon-plus-jet cross section with the experimental isolation including both, direct and fragmentation contributions. Predictions with two different parton-to-photon fragmentation functions are compared, allowing for an estimation of the uncertainty stemming from the only loosely constrained photon fragmentation functions.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127429041","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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