Lukas Altenkamp, M. Boggia, S. Dittmaier, H. Rzehak
{"title":"Electroweak corrections in the Two-Higgs-Doublet Model and Singlet Extension of the Standard Model","authors":"Lukas Altenkamp, M. Boggia, S. Dittmaier, H. Rzehak","doi":"10.22323/1.303.0011","DOIUrl":"https://doi.org/10.22323/1.303.0011","url":null,"abstract":"We present the next-to-leading-order calculation of the partial decay widths of light CP-even Higgs bosons decaying into four fermions in the Two-Higgs-Doublet Model and a Singlet Extension of the Standard Model. Different renormalization schemes are applied in the calculation, which is implemented into the analysis tool PROPHECY4F. Some sample results on the Higgs->4fermions decay widths illustrate how the corrections reduce the dependence on the renormalization scale and the choice of the scheme.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125067846","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":"Four-loop results for the cusp anomalous dimension","authors":"R. Brüser, A. Grozin, J. Henn, M. Stahlhofen","doi":"10.22323/1.303.0018","DOIUrl":"https://doi.org/10.22323/1.303.0018","url":null,"abstract":"We review the current status of calculations of the HQET field anomalous dimension and the cusp anomalous dimension. In particular, we give the results at 4 loops for the quartic Casimir contribution, and for the full QED case, up to $varphi^6$ in the small angle expansion. Furthermore, we discuss the leading terms in the anti-parallel lines limit at four loops.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"2014 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121438358","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}
A. Kardos, G. Bevilacqua, G. Somogyi, Z. Tr'ocs'anyi, Z. Tulip'ant
{"title":"CoLoRFulNNLO for LHC processes","authors":"A. Kardos, G. Bevilacqua, G. Somogyi, Z. Tr'ocs'anyi, Z. Tulip'ant","doi":"10.22323/1.303.0074","DOIUrl":"https://doi.org/10.22323/1.303.0074","url":null,"abstract":"In my talk I gave a status update on the extension of the CoLoRFulNNLO subtraction method for computing QCD jet cross sections with hadrons in the initial state. The scheme has been fully worked out previously for electron-positron collisions and recently important steps have been made towards generalizing it to be able to deliver corrections of the same order for LHC processes as well. In particular, the important bottleneck of regularizing multiple real emissions has been addressed. We demonstrate the numerical stability of the CoLoRFulNNLO method by computing the doubly real contribution for Higgs-boson production in gluon-gluon fusion and for W production.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"28 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133661636","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}
J. Blumlein, A. D. Freitas, M. V. Hoeij, E. Imamoglu, P. Marquard, Schneider
{"title":"The ρ parameter at three loops and elliptic integrals","authors":"J. Blumlein, A. D. Freitas, M. V. Hoeij, E. Imamoglu, P. Marquard, Schneider","doi":"10.22323/1.303.0017","DOIUrl":"https://doi.org/10.22323/1.303.0017","url":null,"abstract":"We describe the analytic calculation of the master integrals required to compute the two-mass three-loop corrections to the $rho$ parameter. In particular, we present the calculation of the master integrals for which the corresponding differential equations do not factorize to first order. The homogeneous solutions to these differential equations are obtained in terms of hypergeometric functions at rational argument. These hypergeometric functions can further be mapped to complete elliptic integrals, and the inhomogeneous solutions are expressed in terms of a new class of integrals of combined iterative non-iterative nature.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132095686","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":"High-Precision Electroweak SUSY Production Cross Sections at $e^+e^−$ Colliders","authors":"S. Heinemeyer, C. Schappacher","doi":"10.22323/1.303.0056","DOIUrl":"https://doi.org/10.22323/1.303.0056","url":null,"abstract":"For the search for electroweak (EW) particles in the Minimal Supersymmetric \u0000Standard Model (MSSM) as well as for future precision analyses of these \u0000particles an accurate knowledge of their production and decay properties \u0000is mandatory. \u0000We evaluate the cross sections for the chargino, neutralino and \u0000slepton production at $e^+e^-$ colliders in the MSSM with complex \u0000parameters (cMSSM). \u0000The evaluation is based on a full one-loop calculation of all possible \u0000production channels including soft and hard photon radiation. \u0000The dependence of the cross sections on the relevant \u0000cMSSM parameters is analyzed numerically. We find sizable contributions \u0000to many production cross sections. They amount to roughly $15,%$ of \u0000the tree-level results but can go up to $40,%$ or higher in extreme \u0000cases. Also the dependence on complex parameters of the one-loop \u0000corrections for many production channels was found non-negligible. \u0000The full one-loop contributions are thus crucial for physics analyses \u0000at a future linear $e^+e^-$ collider such as the ILC or CLIC.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114104106","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":"From elliptic curves to Feynman integrals","authors":"Luise Adams, Ekta Chaubey, S. Weinzierl","doi":"10.22323/1.303.0069","DOIUrl":"https://doi.org/10.22323/1.303.0069","url":null,"abstract":"In this talk we discuss Feynman integrals which are related to elliptic curves. We show with the help of an explicit example that in the set of master integrals more than one elliptic curve may occur. The technique of maximal cuts is a useful tool to identify the elliptic curves. By a suitable transformation of the master integrals the system of differential equations for our example can be brought into a form linear in $varepsilon$, where the $varepsilon^0$-term is strictly lower-triangular. This system is easily solved in terms of iterated integrals.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124321786","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":"The corolla polynomial: a graph polynomial on half-edges","authors":"D. Kreimer","doi":"10.22323/1.303.0068","DOIUrl":"https://doi.org/10.22323/1.303.0068","url":null,"abstract":"The study of Feynman rules is much facilitated by the two Symanzik polynomials, homogeneous polynomials based on edge variables for a given Feynman graph. We review here the role of a recently discovered third graph polynomial based on half-edges which facilitates the transition from scalar to gauge theory amplitudes: the corolla polynomial. We review in particular the use of graph homology in the construction of this polynomial.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"62 37","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131639416","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":"Differential equations for loop integrals without squared propagators","authors":"J. Bosma, K. J. Larsen, Yang Zhang","doi":"10.22323/1.303.0064","DOIUrl":"https://doi.org/10.22323/1.303.0064","url":null,"abstract":"We provide a sufficient condition for avoiding squared propagators in the intermediate stages of setting up differential equations for loop integrals. This condition is satisfied in a large class of two- and three-loop diagrams. For these diagrams, the differential equations can thus be computed using \"unitarity-compatible\" integration-by-parts reductions, which simplify the reduction problem by avoiding integrals with higher-power propagators.","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130097718","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}