Matches in SemOpenAlex for { <https://semopenalex.org/work/W2912874790> ?p ?o ?g. }
Showing items 1 to 61 of
61
with 100 items per page.
- W2912874790 abstract "In this Thesis we discuss recent ideas concerning the evaluation of multi-loop FeynmanIntegrals in the context of Dimensional Regularization.In the first part we study relations fulfilled by Feynman Integrals, with a particularfocus on Integration By Parts Identities (IBPs). We present the latter both in the standardmomentum space representation, where we essentially we integrate a set of denominatorsover the loop momenta, and in Baikov representation, in which denominators are promotedto integration variables, and the Gram determinant of the whole set of loop and externalmomenta, referred to as Baikov Polynomial, emerges as a leading object.IBPs in Baikov representation naturally lead to the study and the implementationof concepts and algorithms developed in Computational Algebraic Geometry, such asSygyzies. We present a Mathematica code devoted to IBPs generation in Baikov representation.In the second part we focus on the Method of Differentil Equations for Feynman Integrals,with a particular emphasis on the algorithm based on the Magnus Exponential toachieve the Canonical Form: in both of them, an underlying algebraic structure arises.We present applications relevant to phenomenology: namely we compute the Mis for the1-loop box which appear in the e ! e scattering and we obtain the Canonical Formfor a 2-loops non plaanar 3-points function, which is part of a wider task regarding thecalculation of the 2-loops non planar box which is needed for the qq ! tt process.In the last part we analyze the role of Cut Integrals as solutions of homogeneous DifferentialEquations, and their implementation in Baikov representation. Working on anexplicit example, we show how different IBPs-compatible integration regions lead to differentsolutions for a higher order Differential Equation." @default.
- W2912874790 created "2019-02-21" @default.
- W2912874790 creator A5011420213 @default.
- W2912874790 date "2018-09-01" @default.
- W2912874790 modified "2023-10-17" @default.
- W2912874790 title "A modern approach to Feynman Integrals and Differential Equations" @default.
- W2912874790 hasPublicationYear "2018" @default.
- W2912874790 type Work @default.
- W2912874790 sameAs 2912874790 @default.
- W2912874790 citedByCount "0" @default.
- W2912874790 crossrefType "journal-article" @default.
- W2912874790 hasAuthorship W2912874790A5011420213 @default.
- W2912874790 hasConcept C136119220 @default.
- W2912874790 hasConcept C154945302 @default.
- W2912874790 hasConcept C166124518 @default.
- W2912874790 hasConcept C202444582 @default.
- W2912874790 hasConcept C204707403 @default.
- W2912874790 hasConcept C2776135515 @default.
- W2912874790 hasConcept C2776590265 @default.
- W2912874790 hasConcept C33923547 @default.
- W2912874790 hasConcept C37914503 @default.
- W2912874790 hasConcept C41008148 @default.
- W2912874790 hasConcept C65574998 @default.
- W2912874790 hasConceptScore W2912874790C136119220 @default.
- W2912874790 hasConceptScore W2912874790C154945302 @default.
- W2912874790 hasConceptScore W2912874790C166124518 @default.
- W2912874790 hasConceptScore W2912874790C202444582 @default.
- W2912874790 hasConceptScore W2912874790C204707403 @default.
- W2912874790 hasConceptScore W2912874790C2776135515 @default.
- W2912874790 hasConceptScore W2912874790C2776590265 @default.
- W2912874790 hasConceptScore W2912874790C33923547 @default.
- W2912874790 hasConceptScore W2912874790C37914503 @default.
- W2912874790 hasConceptScore W2912874790C41008148 @default.
- W2912874790 hasConceptScore W2912874790C65574998 @default.
- W2912874790 hasLocation W29128747901 @default.
- W2912874790 hasOpenAccess W2912874790 @default.
- W2912874790 hasPrimaryLocation W29128747901 @default.
- W2912874790 hasRelatedWork W1275499557 @default.
- W2912874790 hasRelatedWork W1511361415 @default.
- W2912874790 hasRelatedWork W1570281442 @default.
- W2912874790 hasRelatedWork W2030236211 @default.
- W2912874790 hasRelatedWork W2038199579 @default.
- W2912874790 hasRelatedWork W2063667346 @default.
- W2912874790 hasRelatedWork W2069032362 @default.
- W2912874790 hasRelatedWork W2211673120 @default.
- W2912874790 hasRelatedWork W2271611837 @default.
- W2912874790 hasRelatedWork W2518553268 @default.
- W2912874790 hasRelatedWork W2546851195 @default.
- W2912874790 hasRelatedWork W2946115728 @default.
- W2912874790 hasRelatedWork W2978819269 @default.
- W2912874790 hasRelatedWork W3036721089 @default.
- W2912874790 hasRelatedWork W3085146957 @default.
- W2912874790 hasRelatedWork W3104783250 @default.
- W2912874790 hasRelatedWork W3104946540 @default.
- W2912874790 hasRelatedWork W85070209 @default.
- W2912874790 hasRelatedWork W99614711 @default.
- W2912874790 hasRelatedWork W2505016305 @default.
- W2912874790 isParatext "false" @default.
- W2912874790 isRetracted "false" @default.
- W2912874790 magId "2912874790" @default.
- W2912874790 workType "article" @default.