Double-logarithms in N=8 supergravity: impact parameter description and mapping to 1-rooted ribbon graphs

2019/04/30 by Vera, Agustín Sabio
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1904.13372

Abstract

The set of double-logarithmic (DL) contributions (α t ln² s)ⁿ to the 4-graviton amplitude in \cal N= 8 supergravity (SUGRA), with α being the gravitational coupling and (s,t) the Mandelstam invariants, is studied in impact parameter (ρ) representation. This sector of the amplitude shows interesting properties which shed light on the nature of quantum corrections in gravity. Besides having a convergent behaviour as s increases, which is not present in \cal N

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