Feynman integrals at large loop order and the log-Γ distribution

2025/03/10 by Borinsky, Michael, Favorito, Andrea · 4 citations
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2503.07803

Abstract

We find empirically that the value of Feynman integrals follows a log-Γ distribution at large loop order. This result opens up a new avenue towards the large-order behavior in perturbative quantum field theory. Our study of the primitive contribution to the scalar ϕ⁴ beta function in four dimensions up to 17 loops provides accompanying evidence. Guided by instanton considerations, we discuss the extrapolation of this contribution to all loop orders.

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