On genera of curves from high-loop generalized unitarity cuts

DOI10.1007/JHEP04(2013)080zbMath1342.81353arXiv1302.1023MaRDI QIDQ303111

Yang Zhang, Rijun Huang

Publication date: 12 August 2016

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

Full work available at URL: https://arxiv.org/abs/1302.1023

zbMATH Keywords

scattering amplitudesdifferential geometryQCDalgebraic geometry

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Feynman diagrams (81T18) Computational aspects of algebraic curves (14Q05)

Related Items (10)

Two-loop integral reduction from elliptic and hyperelliptic curves ⋮ An elliptic generalization of multiple polylogarithms ⋮ Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives ⋮ Symbology for elliptic multiple polylogarithms and the symbol prime ⋮ Elliptic Feynman integrals and pure functions ⋮ Global structure of curves from generalized unitarity cut of three-loop diagrams ⋮ Multiloop integrand reduction for dimensionally regulated amplitudes ⋮ Global residues and two-loop hepta-cuts ⋮ Multivariate residues and maximal unitarity ⋮ Meromorphic modular forms and the three-loop equal-mass banana integral

Uses Software

• Macaulay2
• CutTools

Cites Work

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• The classification of two-loop integrand basis in pure four-dimension
• Hepta-cuts of two-loop scattering amplitudes
• Direct extraction of one loop rational terms
• Full one-loop amplitudes from tree amplitudes
• New recursion relations for tree amplitudes of gluons
• Generalized unitarity and one-loop amplitudes in \(\mathcal N=1\) super-Yang-Mills
• Reducing full one-loop amplitudes to scalar integrals at the integrand level
• Algebraic geometry. An introduction. Transl. from the French by Catriona Maclean
• An integrand reconstruction method for three-loop amplitudes
• Integrand-level reduction of loop amplitudes by computational algebraic geometry methods
• One-loop \(n\)-point gauge theory amplitudes, unitarity and collinear limits.
• What is the simplest quantum field theory?
• On the integrand-reduction method for two-loop scattering amplitudes
• HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
• Loop amplitudes in gauge theories: modern analytic approaches
• On analytic properties of vertex parts in quantum field theory
• Singularities and Discontinuities of Feynman Amplitudes
• Calculation of master integrals by difference equations
• Multiloop integrand reduction for dimensionally regulated amplitudes

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