One-loop open-string integrals from differential equations: all-order \(\alpha '\)-expansions at \(n\) points

DOI10.1007/JHEP03(2020)007zbMath1435.83183arXiv1908.10830MaRDI QIDQ2191642

Oliver Schlotterer, Carlos R. Mafra

Publication date: 25 June 2020

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.10830

zbMATH Keywords

scattering amplitudessuperstrings and heterotic strings

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) (2)-body potential quantum scattering theory (81U05)

Related Items (15)

Towards closed strings as single-valued open strings at genus one ⋮ Two dialects for KZB equations: generating one-loop open-string integrals ⋮ The algebraic structure of the KLT relations for gauge and gravity tree amplitudes ⋮ All-order differential equations for one-loop closed-string integrals and modular graph forms ⋮ From positive geometries to a coaction on hypergeometric functions ⋮ Open-string integrals with multiple unintegrated punctures at genus one ⋮ Tree-level amplitudes from the pure spinor superstring ⋮ Generating series of all modular graph forms from iterated Eisenstein integrals ⋮ Local BCJ numerators for ten-dimensional SYM at one loop ⋮ Elliptic modular graph forms. I: Identities and generating series ⋮ Diagrammatic expansion of non-perturbative little string free energies ⋮ Coaction and double-copy properties of configuration-space integrals at genus zero ⋮ Monodromy relations from twisted homology ⋮ A Geometrical Framework for Amplitude Recursions: Bridging Between Trees and Loops ⋮ The SAGEX review on scattering amplitudes Chapter 2: An invitation to color-kinematics duality and the double copy

Cites Work

• Unnamed Item
• Unnamed Item
• Differential equations, associators, and recurrences for amplitudes
• Mixed Tate motives over \(\mathbb{Z}\)
• The elliptic dilogarithm for the sunset graph
• The momentum kernel of gauge and gravity theories
• The multiple zeta value data mine
• Current algebra on the torus
• Elliptic Feynman integrals and pure functions
• Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings
• From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop
• Abelian \(Z\)-theory: NLSM amplitudes and \(\alpha\)'-corrections from the open string
• Superstring amplitudes and the associator
• Gauss-Manin connection of integral of difference products
• Tata lectures on theta. III
• Multi-leg one-loop gravity amplitudes from gauge theory
• Heterotic and bosonic string amplitudes via field theory
• New BCJ representations for one-loop amplitudes in gauge theories and gravity
• Universality in string interactions
• Hierarchy of modular graph identities
• Simplifying one-loop amplitudes in superstring theory
• One-loop superstring six-point amplitudes and anomalies in pure spinor superspace
• Feynman integrals and iterated integrals of modular forms
• Non-abelian \(Z\)-theory: Berends-Giele recursion for the \(\alpha^{'}\)-expansion of disk integrals
• Monodromy relations in higher-loop string amplitudes
• An elliptic generalization of multiple polylogarithms
• On the algebraic structure of iterated integrals of quasimodular forms
• From maximal to minimal supersymmetry in string loop amplitudes
• String-motivated one-loop amplitudes in gauge theories with half-maximal supersymmetry
• Combinatorics and topology of Kawai-Lewellen-Tye relations
• Semi-abelian Z-theory: NLSM + \({\Phi}^3\) from the open string
• Tetrahedral modular graph functions
• Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
• Higher genus modular graph functions, string invariants, and their exact asymptotics
• Identities between modular graph forms
• Modular graph functions
• Notes on motivic periods
• The meta-abelian elliptic KZB associator and periods of Eisenstein series
• Local integrals for planar scattering amplitudes
• The \(\varepsilon\)-form of the differential equations for Feynman integrals in the elliptic case
• On some derivations of Lie algebras related to Galois representations
• All-order differential equations for one-loop closed-string integrals and modular graph forms
• Notes on the universal elliptic KZB connection
• Genus-zero and genus-one string amplitudes and special multiple zeta values
• Integral of two-loop modular graph functions
• Exploring transcendentality in superstring amplitudes
• A class of non-holomorphic modular forms. I
• Graphical functions and single-valued multiple polylogarithms
• Galois symmetries of fundamental groupoids and noncommutative geometry
• Single-valued multiple zeta values in genus \(1\) superstring amplitudes
• Asymptotics of the \(D^8 \mathcal{R}^4 \) genus-two string invariant
• Complete \(N\)-point superstring disk amplitude I. Pure spinor computation
• On the field theory expansion of superstring five point amplitudes
• Closed string amplitudes as single-valued open string amplitudes
• Elliptic associators
• Elliptic multiple zeta values and one-loop superstring amplitudes
• On the modular structure of the genus-one type II superstring low energy expansion
• A Feynman integral via higher normal functions
• Polylogarithms, multiple zeta values and superstring amplitudes
• Motivic multiple zeta values and superstring amplitudes
• On the decomposition of motivic multiple zeta values
• Analogues elliptiques des nombres multiz\'etas
• Relations between elliptic multiple zeta values and a special derivation algebra
• Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
• Iterated elliptic and hypergeometric integrals for Feynman diagrams
• Lie Elements and Knuth Relations
• Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes
• Intersection theory for twisted cohomologies and twisted Riemann’s period relations I
• Universal KZB Equations: The Elliptic Case
• Closed strings as single-valued open strings: a genus-zero derivation
• Closed superstring amplitudes, single-valued multiple zeta values and the Deligne associator
• SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES

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