Supersymmetry and Gravitational Quadrupoles

TL;DR

This paper derives universal supersymmetric sum rules for gravitational quadrupole moments of particles, identifying a preferred value of the h-factor that aligns with unitarity constraints and generalizes electromagnetic moment results.

Contribution

It introduces non-perturbative, model-independent sum rules for gravitational quadrupoles in supersymmetric theories, highlighting a preferred h=1 value consistent with unitarity.

Findings

The h-factor sum rule favors h=1 for gravitational quadrupoles.

The h=1 value aligns with tree-level unitarity predictions.

Generalizes previous electromagnetic moment results to gravitational moments.

Abstract

We derive model independent, non-perturbative supersymmetric sum rules for the gravitational quadrupole moments of arbitrary-spin particles in any N=1 supersymmetric theory. These sum rules select a ``preferred'' value of h=1 where the ``h-factor'' is the gravitational quadrupole analog of the gyromagnetic ratio or g-factor. This value of h=1 corresponds identically to the preferred field theory value obtained by tree-level unitarity considerations. The presently derived h-factor sum rule complements and generalizes previous work on electromagnetic moments where g=2 was shown to be preferred by both supersymmetric sum rule and tree-level unitarity arguments.