Yangian bootstrap for massive Feynman integrals

Loebbert, Florian; Miczajka, Julian; Müller, Dennis; Münkler, Hagen

doi:10.21468/SciPostPhys.11.1.010

SciPost Physics

Yangian bootstrap for massive Feynman integrals

Florian Loebbert, Julian Miczajka, Dennis Müller, Hagen Münkler

SciPost Phys. 11, 010 (2021) · published 13 July 2021

doi: 10.21468/SciPostPhys.11.1.010
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.11.1.010
TI  - Yangian bootstrap for massive Feynman integrals
PY  - 2021/07/13
UR  - https://scipost.org/SciPostPhys.11.1.010
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 11
IS  - 1
SP  - 010
A1  - Loebbert, Florian
AU  - Miczajka, Julian
AU  - Müller, Dennis
AU  - Münkler, Hagen
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.11.1.010,
	title={{Yangian bootstrap for massive Feynman integrals}},
	author={Florian Loebbert and Julian Miczajka and Dennis Müller and Hagen Münkler},
	journal={SciPost Phys.},
	volume={11},
	pages={010},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.11.1.010},
	url={https://scipost.org/10.21468/SciPostPhys.11.1.010},
}

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