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Analytic structure of all loop banana integrals (Q2047955)

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Language	Label	Description	Also known as
English	Analytic structure of all loop banana integrals	scientific article

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scholarly article

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Analytic structure of all loop banana integrals (English)

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Kilian Bönisch

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Fabian Fischbach

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Journal of High Energy Physics

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publication date

4 August 2021

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full work available at URL

https://arxiv.org/abs/2008.10574

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zbMATH Keywords

differential and algebraic geometry

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scattering amplitudes

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MaRDI profile type

MaRDI publication profile

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INTEGRATION BY PARTS: AN INTRODUCTION

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Analytic tools for Feynman integrals

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Three-loop contributions to the \(\rho\) parameter and iterated integrals of modular forms

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ANALYTICAL EXPRESSIONS OF THREE- AND FOUR-LOOP SUNRISE FEYNMAN INTEGRALS AND FOUR-DIMENSIONAL LATTICE INTEGRALS

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The kite integral to all orders in terms of elliptic polylogarithms

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

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Feynman integral relations from parametric annihilators

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Feynman integrals and iterated integrals of modular forms

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Iterated elliptic and hypergeometric integrals for Feynman diagrams

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Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces

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The B-model approach to topological string theory on Calabi-Yau \(n\)-folds

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Periods and Feynman integrals

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Picard-Fuchs equations for Feynman integrals

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The physics and the mixed Hodge structure of Feynman integrals

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

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Generating functional of correlation functions for the nonlinear Schrödinger equation

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GKZ-hypergeometric systems for Feynman integrals

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Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems

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Feynman integrals as A-hypergeometric functions

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

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

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FEYNMAN GRAPH POLYNOMIALS

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Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

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Mirror Symmetry and Fano Manifolds

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On Calabi-Yau Complete Intersections in Toric Varieties

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Elliptic integral evaluations of Bessel moments and applications

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Multiple Zeta Values and Modular Forms in Quantum Field Theory

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Wrońskian factorizations and Broadhurst-Mellit determinant formulae

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Feynman integrals, \(L\)-series and Kloosterman moments

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A Proof of a Recurrence for Bessel Moments

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Wick rotations, Eichler integrals, and multi-loop Feynman diagrams

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A Feynman integral via higher normal functions

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On modularity of rigid and nonrigid Calabi-Yau varieties associated to the Root Lattice <i>A</i><sub>4</sub>

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A one parameter family of Calabi-Yau manifolds with attractor points of rank two

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Chern classes and the periods of mirrors

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Local mirror symmetry and type IIA monodromy of Calabi-Yau manifolds

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Ruan's conjecture and integral structures in quantum cohomology

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Hodge theoretic aspects of mirror symmetry

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Gamma classes and quantum cohomology of Fano manifolds: gamma conjectures

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Homological Algebra of Mirror Symmetry

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Braid group actions on derived categories of coherent sheaves.

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Calabi-Yau four-folds for \(M\)- and \(F\)-theory compactifications

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ON ALGEBRAIC FIBER SPACE STRUCTURES ON A CALABI-YAU 3-FOLD

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Quantum field theory techniques in graphical enumeration

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Single-valued multiple polylogarithms and a proof of the zig-zag conjecture

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A \(K3\) in \(\phi^{4}\)

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The Galois coaction on \(\phi^4\) periods

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The Galois coaction on the electron anomalous magnetic moment

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Quantum geometry of del Pezzo surfaces in the Nekrasov-Shatashvili limit

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WKB method and quantum periods beyond genus one

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The elliptic dilogarithm for the sunset graph

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Counting higher genus curves in a Calabi-Yau manifold

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Counting BPS states on the Enriques Calabi-Yau

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Direct integration of the topological string

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

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Identifiers

zbMATH Open document ID

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10.1007/JHEP05(2021)066

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2047955

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