Yangian Bootstrap for Massive Feynman Integrals

Abstract

We extend the study of the recently discovered Yangian symmetry of massive Feynman integrals and its relation to massive momentum space conformal symmetry. After proving the symmetry statements in detail at one and two loop orders, we employ the conformal and Yangian constraints to bootstrap various one-loop examples of massive Feynman integrals. In particular, we explore the interplay between Yangian symmetry and hypergeometric expressions of the considered integrals. Based on these examples we conjecture single series representations for all dual conformal one-loop integrals in D spacetime dimensions with generic massive propagators.

arXiv comment61 pages

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Cited by in corpus (12)

• Three-Body Effective Potential in General Relativity at Second Post-Minkowskian Order and Resulting Post-Newtonian Contributions
• The Wilson-loop $d\log$ representation for Feynman integrals
• Massive One-loop Conformal Feynman Integrals and Quadratic Transformations of Multiple Hypergeometric Series
• Yangian Ward Identities for Fishnet Four-Point Integrals
• Integrability for Feynman Integrals
• Yangian Symmetry in Holographic Correlators
• Conformal Four-Point Integrals: Recursive Structure, Toda Equations and Double Copy
• Amplitudes in fishnet theories in diverse dimensions and Box ladder diagrams
• Properties of the Conformal Yangian in Scalar and Gauge Field Theories
• The Feyn-Structure of Yangian Symmetry
• Non-Local Symmetries of Planar Feynman Integrals
• Hypergeometry from $\hat{\mathrm{P}}$-Symmetry: Feynman Integrals in One and Two Dimensions