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

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Feynman Integral Relations from GKZ Hypergeometric Systems GKZ超几何系统中的Feynman积分关系
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-07-20 DOI: 10.22323/1.416.0042
Henrik J. Munch
{"title":"Feynman Integral Relations from GKZ Hypergeometric Systems","authors":"Henrik J. Munch","doi":"10.22323/1.416.0042","DOIUrl":"https://doi.org/10.22323/1.416.0042","url":null,"abstract":"We study Feynman integrals in the framework of Gel'fand-Kapranov-Zelevinsky (GKZ) hypergeometric systems. The latter defines a class of functions wherein Feynman integrals arise as special cases, for any number of loops and kinematic scales. Utilizing the GKZ system and its relation to $D$-module theory, we propose a novel method for obtaining differential equations for master integrals. This note is based on the longer manuscript arXiv:2204.12983.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"117 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123452924","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
Tackling the infamous $g^6$ term of the QCD pressure 解决臭名昭著的$g^6$ QCD压力项
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-07-20 DOI: 10.22323/1.416.0014
Pablo F. Navarrete, Y. Schroder
{"title":"Tackling the infamous $g^6$ term of the QCD pressure","authors":"Pablo F. Navarrete, Y. Schroder","doi":"10.22323/1.416.0014","DOIUrl":"https://doi.org/10.22323/1.416.0014","url":null,"abstract":"We report on ongoing efforts to tackle an important open problem in QCD thermodynamics, namely an evaluation of the pressure to order $g^6$ in a weak-coupling expansion, corresponding to four loops. In particular, we identify a class of contributing Feynman sum-integrals with lower-loop factors, describe the formalism to tensor decompose those, and manage to map them onto scalar master sum-integrals that have already been evaluated in the literature.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125919804","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
IBP reduction via Gröbner bases in a rational double-shift algebra 有理双移代数中Gröbner基的IBP约简
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-07-19 DOI: 10.22323/1.416.0043
Mohamed Barakat, Robin Bruser, T. Huber, J. Piclum
{"title":"IBP reduction via Gröbner bases in a rational double-shift algebra","authors":"Mohamed Barakat, Robin Bruser, T. Huber, J. Piclum","doi":"10.22323/1.416.0043","DOIUrl":"https://doi.org/10.22323/1.416.0043","url":null,"abstract":"We report on an approach to integration-by-parts reduction based on Gr\"obner bases. We establish the underlying noncommutative rational double-shift algebra wherein the integration-by-parts relations form a left ideal. We describe in detail the one-loop massless box as an example where we achieved the full reduction to master integrals by means of the Gr\"obner basis approach, and report on the performance of the implementation. We also identify potential bottlenecks in more complicated examples and elaborate on interesting further directions.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114639975","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
Differential N3LO QCD corrections to charged current production at the LHC 对大型强子对撞机带电电流产生的差分N3LO QCD校正
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-07-18 DOI: 10.22323/1.416.0004
Xuan Chen, T. Gehrmann, N. Glover, A. Huss, Tong-Zhi Yang, Hua Xing Zhu
{"title":"Differential N3LO QCD corrections to charged current production at the LHC","authors":"Xuan Chen, T. Gehrmann, N. Glover, A. Huss, Tong-Zhi Yang, Hua Xing Zhu","doi":"10.22323/1.416.0004","DOIUrl":"https://doi.org/10.22323/1.416.0004","url":null,"abstract":"Charged current Drell-Yan production at hadron colliders is a benchmark electroweak process. A recent measurement of the W boson mass by the CDF experiment displays a large deviation from the Standard Model prediction. To enable precision phenomenology for this process, we compute the third-order (N$^3$LO) QCD corrections to the rapidity distribution in W boson production and to the transverse mass distribution of its decay products. We study kinematic regions relevant for the LHC experiments and assess the numerical magnitude of uncertainties from electroweak input parameters and parton distribution functions.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133826778","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
Leading Order Triple Collinear Splitting Functions Revisited 前阶三重共线分裂函数
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-07-18 DOI: 10.22323/1.416.0028
Oscar Braun-White
{"title":"Leading Order Triple Collinear Splitting Functions Revisited","authors":"Oscar Braun-White","doi":"10.22323/1.416.0028","DOIUrl":"https://doi.org/10.22323/1.416.0028","url":null,"abstract":"I review the factorisation properties of tree level amplitudes when three particles $i$, $j$, $k$ are collinear. The triple collinear splitting functions contain both iterated single unresolved contributions, and genuine double unresolved contributions. I make this explicit by rewriting the known triple collinear splitting functions for a quark and two gluons in terms of products of two-particle splitting functions, and a remainder that is explicitly finite when any two of ${i,j,k}$ are collinear.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125958959","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
Beyond dimension six in SM Effective Field Theory: a case study in Higgs pair production at NLO QCD SM有效场论中的超六维:NLO QCD中希格斯对产生的个案研究
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-07-18 DOI: 10.22323/1.416.0009
G. Heinrich, Jannis Lang, L. Scyboz
{"title":"Beyond dimension six in SM Effective Field Theory: a case study in Higgs pair production at NLO QCD","authors":"G. Heinrich, Jannis Lang, L. Scyboz","doi":"10.22323/1.416.0009","DOIUrl":"https://doi.org/10.22323/1.416.0009","url":null,"abstract":"We present the NLO (two-loop) QCD corrections to Higgs boson pair production in gluon fusion within Standard Model Effective Theory (SMEFT), including also squared dimension-6 operators and double insertions of operators. The different options to truncate the EFT expansion are contrasted to a non-linear EFT approach (HEFT) and their effects are illustrated by several phenomenological examples.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"212 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134046461","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
The 3-loop anomalous dimensions from off-shell operator matrix elements 离壳算子矩阵元素的三环异常维数
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-07-16 DOI: 10.22323/1.416.0048
J. Blumlein, P. Marquard, Schneider, K. Schonwald
{"title":"The 3-loop anomalous dimensions from off-shell operator matrix elements","authors":"J. Blumlein, P. Marquard, Schneider, K. Schonwald","doi":"10.22323/1.416.0048","DOIUrl":"https://doi.org/10.22323/1.416.0048","url":null,"abstract":"We report on the calculation of the three–loop polarized and unpolarized flavor non–singlet and the polarized singlet anomalous dimensions using massless off–shell operator matrix elements in a gauge–variant framework. We also reconsider the unpolarized two–loop singlet anomalous dimensions and correct errors in the foregoing literature.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116854741","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
The diagrammatic coaction 图解式的相互作用
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-07-16 DOI: 10.22323/1.416.0015
S. Abreu, R. Britto, C. Duhr, E. Gardi, J. Matthew
{"title":"The diagrammatic coaction","authors":"S. Abreu, R. Britto, C. Duhr, E. Gardi, J. Matthew","doi":"10.22323/1.416.0015","DOIUrl":"https://doi.org/10.22323/1.416.0015","url":null,"abstract":"The diagrammatic coaction underpins the analytic structure of Feynman integrals, their cuts and the differential equations they admit. The coaction maps any diagram into a tensor product of its pinches and cuts. These correspond respectively to differential forms defining master integrals, and integration contours which place a subset of the propagators on shell. In a canonical basis these forms and contours are dual to each other. In this talk I review our present understanding of this algebraic structure and its manifestation for dimensionally-regularized Feynman integrals that are expandable to polylogarithms around integer dimensions. Using one- and two-loop integral examples, I will explain the duality between forms and contours, and the correspondence between the local coaction acting on the Laurent coefficients in the dimensional regulator and the global coaction acting on generalised hypergeometric functions.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129898930","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
Negative energy effects in processes involving bound particles: finite nuclear size effects 束缚粒子过程中的负能量效应:有限核尺寸效应
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-07-15 DOI: 10.22323/1.416.0055
A. Czarnecki
{"title":"Negative energy effects in processes involving bound particles: finite nuclear size effects","authors":"A. Czarnecki","doi":"10.22323/1.416.0055","DOIUrl":"https://doi.org/10.22323/1.416.0055","url":null,"abstract":"Probability of finding negative energy states in a hydrogen atom is decreased when the nucleus is extended. Reduced electron Compton wavelength is the characteristic size of the region around the nucleus where negative energy contributions to the wave function are sizeable.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132867830","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
Zero-jettiness beam functions at N$^3$LO 零射束在N$^3$LO处的函数
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) Pub Date : 2022-07-15 DOI: 10.22323/1.416.0027
A. Behring
{"title":"Zero-jettiness beam functions at N$^3$LO","authors":"A. Behring","doi":"10.22323/1.416.0027","DOIUrl":"https://doi.org/10.22323/1.416.0027","url":null,"abstract":"The zero-jettiness beam functions describe collinear emissions from initial state legs and appear in the factorisation theorem for cross sections in the limit of small zero-jettiness. They are an important building block for slicing schemes for colour-singlet production at hadron colliders. We report on our ongoing calculation of this quantity at next-to-next-to-next-to-leading order (N$^3$LO) in QCD, highlighting in particular the aspects of partial fraction relations and the calculation of master integrals.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115629732","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
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