Yangian Bootstrap for Massive Feynman Integrals
Preprint
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.Keywords
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This publication has 43 references indexed in Scilit:
- All-mass n-gon integrals in n dimensionsJournal of High Energy Physics, 2020
- Logarithmic forms and differential equations for Feynman integralsJournal of High Energy Physics, 2020
- Lorentzian CFT 3-point functions in momentum spaceJournal of High Energy Physics, 2020
- Momentum space conformal three-point functions of conserved currents and a general spinning operatorJournal of High Energy Physics, 2019
- Yangian symmetry for bi-scalar loop amplitudesJournal of High Energy Physics, 2018
- Conformal anomaly of generalized form factors and finite loop integralsJournal of High Energy Physics, 2018
- Implications of conformal invariance in momentum spaceJournal of High Energy Physics, 2014
- Conformal algebra: R-matrix and star-triangle relationJournal of High Energy Physics, 2013
- Graviton vertices and the mapping of anomalous correlators to momentum space for a general conformal field theoryJournal of High Energy Physics, 2012
- A method of calculating massive Feynman integralsTheoretical and Mathematical Physics, 1991