Two-loop Feynman integrals involve Riemann spheres, elliptic curves, hyperelliptic curves of genus 2 and 3, K3 surfaces, and a rationalizable Del Pezzo surface of degree 2.
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Feynman integrals selected for unit leading singularities in complex geometries satisfy epsilon-factorized differential equations with new transcendental functions corresponding to periods and differential forms in the Gauss-Manin connection.
A unified Lagrangian framework connects supersymmetric and non-supersymmetric scalar-fermion theories and supplies Ward identities that simplify computations of anomalous dimensions in the non-supersymmetric case.
Three-loop five-point master integrals in N=4 SYM are evaluated via DCI-preserving regularization, cross-ratio factorization, and selective IBP/HyperInt reduction on 82 regions.
Unified computation of chiral anomalous transport effects including mass corrections from integrating out a Dirac fermion in EFT at finite temperature, showing physical currents differ from Chern-Simons terms.
Graphical functions, defined as massless three-point position-space integrals, serve as a powerful tool for evaluating multi-loop Feynman integrals, with extensions to conformal field theory and recent algorithmic computability.
citing papers explorer
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The spectrum of Feynman-integral geometries at two loops
Two-loop Feynman integrals involve Riemann spheres, elliptic curves, hyperelliptic curves of genus 2 and 3, K3 surfaces, and a rationalizable Del Pezzo surface of degree 2.
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Integrand Analysis, Leading Singularities and Canonical Bases beyond Polylogarithms
Feynman integrals selected for unit leading singularities in complex geometries satisfy epsilon-factorized differential equations with new transcendental functions corresponding to periods and differential forms in the Gauss-Manin connection.
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Connecting Supersymmetry to Non-Supersymmetric theories: the Gross-Neveu-Yukawa example
A unified Lagrangian framework connects supersymmetric and non-supersymmetric scalar-fermion theories and supplies Ward identities that simplify computations of anomalous dimensions in the non-supersymmetric case.
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Five legs @ three loops: slightly off-shell dual conformal integrals
Three-loop five-point master integrals in N=4 SYM are evaluated via DCI-preserving regularization, cross-ratio factorization, and selective IBP/HyperInt reduction on 82 regions.
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Anomalous Transport from Effective Field Theory
Unified computation of chiral anomalous transport effects including mass corrections from integrating out a Dirac fermion in EFT at finite temperature, showing physical currents differ from Chern-Simons terms.
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Graphical Functions by Examples
Graphical functions, defined as massless three-point position-space integrals, serve as a powerful tool for evaluating multi-loop Feynman integrals, with extensions to conformal field theory and recent algorithmic computability.