Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation (Q1696237)

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English	Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation	scientific article

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scholarly article

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title

Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation (English)

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zbMATH Open document ID

1380.81423

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DOI

10.1007/JHEP07(2017)031

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Journal of High Energy Physics

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publication date

14 February 2018

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full work available at URL

https://arxiv.org/abs/1612.06637

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Mathematics Subject Classification ID

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Mellin-Barnes representation

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Feynman diagram

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differential and algebraic geometry

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scattering amplitudes

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Wikidata QID

Q59869136

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describes a project that uses

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MaRDI publication profile

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arXiv ID

1612.06637

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cites work

The monodromy rings of a class of self-energy graphs

0 references

Q3213515

0 references

A second-order differential equation for the two-loop sunrise graph with arbitrary masses

0 references

The elliptic dilogarithm for the sunset graph

0 references

Near threshold expansion of Feynman diagrams

0 references

Analytic treatment of the two loop equal mass sunrise graph

0 references

High-precision \(\epsilon\)-expansions of massive four-loop vacuum bubbles

0 references

Explicitly symmetrical treatment of three-body phase space

0 references

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

0 references

Hypergeometric representation of the two-loop equal mass sunrise diagram

0 references

On the evaluation of a certain class of Feynman diagrams in \(x\)-space: sunrise-type topologies at any loop order

0 references

Elliptic integral evaluations of Bessel moments and applications

0 references

On motives associated to graph polynomials

0 references

Feynman motives of banana graphs

0 references

The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms

0 references

The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case

0 references

The iterated structure of the all-order result for the two-loop sunrise integral

0 references

FEYNMAN GRAPH POLYNOMIALS

0 references

Some exact results for N-point massive Feynman integrals

0 references

Differential reduction of generalized hypergeometric functions from Feynman diagrams: one-variable case

0 references

Gröbner deformations of hypergeometric differential equations

0 references

A Feynman integral via higher normal functions

0 references

Q4201879

0 references

Monodromy of \(A\)-hypergeometric functions

0 references

Studying the multiple Mellin--Barnes integrals by means of multidimensional residues

0 references

Multiple Mellin-Barnes integrals as periods of Calabi-Yau manifolds with several moduli

0 references

On convergent series representations of Mellin-Barnes integrals

0 references

Towards all-order Laurent expansion of generalised hypergeometric functions about rational values of parameters

0 references

Q4844836

0 references

The singular locus of Lauricella's \(F_C\)

0 references

GRÖBNER BASIS AND SINGULAR LOCUS OF LAURICELLA^|^apos;S HYPERGEOMETRIC DIFFERENTIAL EQUATIONS

0 references

TWISTED CYCLES AND TWISTED PERIOD RELATIONS FOR LAURICELLA'S HYPERGEOMETRIC FUNCTION FC

0 references

The monodromy representation of Lauricella's hypergeometric function F_C

0 references

HYPERDIRE -- hypergeometric functions differential reduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella function \(F_C\) of three variables

0 references

Hypergeometric functions differential reduction (HYPERDIRE): MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: \(F_D\) and \(F_S\) Horn-type hypergeometric functions of three variables

0 references

HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables

0 references

Hypergeometric functions and toric varieties

0 references

Generalized Euler integrals and \(A\)-hypergeometric functions

0 references

Binomial \(D\)-modules

0 references

Algebraic \(A\)-hypergeometric functions

0 references

Irreducibility of \(A\)-hypergeometric systems

0 references

Irreducible quotients ofA-hypergeometric systems

0 references

Resonance equals reducibility for \(A\)-hypergeometric systems

0 references

Monodromy for the hypergeometric function \(_ nF_{n-1}\)

0 references

REDUCIBILITY OF THE SYSTEMS OF DIFFERENTIAL EQUATIONS SATISFIED BY APPELL'S F2,F3 AND F4

0 references

Hypergeometric systems of equations with maximally reducible monodromy

0 references

Maximally reducible monodromy of bivariate hypergeometric systems

0 references

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

0 references

Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations

0 references

Three-loop vacuum integrals with arbitrary masses

0 references

Master integrals for the four-loop Sudakov form factor

0 references

Critical points and number of master integrals

0 references

A practical criterion of irreducibility of multi-loop Feynman integrals

0 references

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

0 references

New results for the \(\varepsilon{}\)-expansion of certain one-, two- and three-loop Feynman diagrams

0 references

FIRE4, LiteRed and accompanying tools to solve integration by parts relations

0 references

Hypergeometric Functions and Feynman Diagrams

0 references

Analytic epsilon expansion of three-loop on-shell master integrals up to four-loop transcendentality weight

0 references

Q4856171

0 references

OpenAlex ID

W2727321299

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Sitelinks

Mathematics(1 entry)

mardi Publication:1696237