DC pole | Wartość | Język |
dc.contributor.author | Dubovyk, Ievgen | - |
dc.contributor.author | Gluza, Janusz | - |
dc.contributor.author | Jeliński, Tomasz | - |
dc.contributor.author | Riemann, Tord | - |
dc.contributor.author | Usovitsch, Johann | - |
dc.date.accessioned | 2018-11-06T15:06:19Z | - |
dc.date.available | 2018-11-06T15:06:19Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Acta Physica Polonica B, Vol. 48, no. 6 (2017), s. 995-1009 | pl_PL |
dc.identifier.issn | 0587-4254 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.12128/6972 | - |
dc.description.abstract | During the last several years, remarkable progress has been made in numerical calculations of dimensionally regulated multi-loop Feynman diagrams using Mellin Barnes (MB) representations. The bottlenecks were non-planar diagrams and Minkowskian kinematics. The method has been proved to work in a highly non-trivial physical application (two-loop electroweak bosonic corrections to the Z -> b (b) over bar decay), and cross-checked with the sector decomposition (SD) approach. In fact, both approaches have their pros and cons. For multidimensional integrals, depending on masses and scales involved, they are complementary. A powerful top bottom approach to the numerical integration of multidimensional MB integrals is automatized in the MB-suite AM B RE/ Pla na rityTest/ M Btools/M Bnumerics/CUBA. New key elements are: a dedicated use of the Cheng Wu theorem for non-planar topologies and of shifts and deformations of the integration contours. An alternative bottom up approach starting with complex 1-dimensional MB integrals, based on the exploration of steepest descent integration contours in Minkowskian kinematics, is also discussed. Short and long-term prospects of the MB method for multi-loop applications to LHC- and LC-physics are discussed. | pl_PL |
dc.language.iso | en | pl_PL |
dc.rights | Uznanie autorstwa 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/pl/ | * |
dc.subject | kinematyka Minkowskiego | pl_PL |
dc.subject | metody matematyczne fizyki | pl_PL |
dc.title | New prospects for the numerical calculation of Mellin-Barnes integrals in Minkowskian kinematics | pl_PL |
dc.type | info:eu-repo/semantics/article | pl_PL |
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