Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Feynman integrals and intersection theory - MaRDI portal

Feynman integrals and intersection theory (Q1735632)

From MaRDI portal

Jump to:navigation, search

scientific article

Language	Label	Description	Also known as
English	Feynman integrals and intersection theory	scientific article

Statements

scholarly article

0 references

Feynman integrals and intersection theory (English)

0 references

Pierpaolo Mastrolia

0 references

Sebastian Mizera

0 references

Journal of High Energy Physics

0 references

publication date

28 March 2019

0 references

full work available at URL

https://arxiv.org/abs/1810.03818

0 references

zbMATH Keywords

scattering amplitudes

0 references

differential and algebraic geometry

0 references

describes a project that uses

0 references

0 references

0 references

0 references

MaRDI profile type

MaRDI publication profile

0 references

NEW METHOD OF MASSIVE N-POINT FEYNMAN DIAGRAMS CALCULATION

0 references

Dimensionally-regulated pentagon integrals

0 references

Differential equations for two-loop four-point functions.

0 references

Lectures on differential equations for Feynman integrals

0 references

HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS

0 references

Connection between Feynman integrals having different values of the space-time dimension

0 references

Space-time dimensionality \(\mathcal D\) as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to \(\mathcal D\)

0 references

Evaluating Feynman integrals.

0 references

INTEGRATION BY PARTS: AN INTRODUCTION

0 references

A novel approach to integration by parts reduction

0 references

Scattering amplitudes over finite fields and multivariate functional reconstruction

0 references

Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections

0 references

\texttt{Reduze} -- Feynman integral reduction in \texttt{C++}

0 references

Algorithm FIRE-Feynman integral reduction

0 references

Kira -- a Feynman integral reduction program

0 references

\textsc{Azurite}: an algebraic geometry based package for finding bases of loop integrals

0 references

Analytic Form of the Two-Loop Planar Five-Gluon All-Plus-Helicity Amplitude in QCD

0 references

Theory of Hypergeometric Functions

0 references

Critical points and number of master integrals

0 references

Motivic renormalization and singularities

0 references

0 references

Feynman integral relations from parametric annihilators

0 references

Cuts of Feynman integrals in Baikov representation

0 references

Differential equations on unitarity cut surfaces

0 references

Maximal cuts in arbitrary dimension

0 references

Baikov-Lee representations of cut Feynman integrals

0 references

Intersection Theory for Twisted Cycles

0 references

Intersection theory for twisted cohomologies and twisted Riemann’s period relations I

0 references

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case

0 references

The dimensional recurrence and analyticity method for multicomponent master integrals: using unitarity cuts to construct homogeneous solutions

0 references

Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral

0 references

On the maximal cut of Feynman integrals and the solution of their differential equations

0 references

Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph

0 references

Analytic treatment of the two loop equal mass sunrise graph

0 references

Magnus and Dyson series for master integrals

0 references

Schouten identities for Feynman graph amplitudes: The Master Integrals for the two-loop massive sunrise graph

0 references

0 references

0 references

0 references

0 references

Twisted de Rham cohomology groups of logarithmic forms

0 references

0 references

Double filtration of twisted logarithmic complex and Gauss-Manin connection

0 references

Positive geometries and canonical forms

0 references

Intersection Theory for Twisted Cycles II ‐ Degenerate Arrangements

0 references

QUADRATIC IDENTITIES FOR HYPERGEOMETRIC SERIES OF TYPE (k,l)

0 references

A HYPERGEOMETRIC INTEGRAL ATTACHED TO THE CONFIGURATION OF THE MIRRORS OF THE REFLECTION GROUP Sn+2 ACTING ON Pn

0 references

0 references

Quadratic relations for confluent hypergeometric functions

0 references

Quadratic Relations for Generalized Hypergeometric Functions PFP-1

0 references

Hypergeometric Functions, My Love

0 references

TWISTED CYCLES AND TWISTED PERIOD RELATIONS FOR LAURICELLA'S HYPERGEOMETRIC FUNCTION F<sub>C</sub>

0 references

INTERSECTION NUMBERS AND TWISTED PERIOD RELATIONS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION <b><i><sub>m</sub></i></b><b><sub>+</sub></b><sub>1</sub><b><i>F</i></b><b><i><sub>m </sub></i></b>

0 references

The monodromy representation and twisted period relations for Appell’s hypergeometric function <i>F</i><sub>4</sub>

0 references

Twisted period relations for Lauricella's hypergeometric functions \(F_A\)

0 references

MONODROMY AND PFAFFIAN OF LAURICELLA^|^apos;S FD IN TERMS OF THE INTERSECTION FORMS OF TWISTED (CO)HOMOLOGY GROUPS

0 references

Contiguity relations of Lauricella's \(F_D\) revisited

0 references

Combinatorics and topology of Kawai-Lewellen-Tye relations

0 references

Intersection numbers for logarithmic \(K\)-forms

0 references

Monodromy of hypergeometric functions and non-lattice integral monodromy

0 references

Reducing differential equations for multiloop master integrals

0 references

Elliptic Feynman integrals and pure functions

0 references

Identifiers

zbMATH Open document ID

0 references

10.1007/JHEP02(2019)139

0 references

Mathematics Subject Classification ID

0 references

0 references

zbMATH DE Number

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:1735632

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q1735632&oldid=37101941"