Glueball-fermion hard scattering from type IIB superstring theory

TL;DR

This paper computes the high-energy scattering amplitude between glueballs and fermions in type IIB superstring theory using gauge/string duality, revealing scaling behaviors and angular selection rules.

Contribution

It provides the first explicit calculation of glueball-fermion scattering amplitudes in the superstring framework, including leading and sub-leading contributions and angular integral evaluations.

Findings

High-energy scaling behavior at fixed angle and Regge limit identified.

Explicit angular integrals and selection rules derived.

Scattering amplitude involving different external states computed.

Abstract

We calculate the glueball-fermion hard-scattering amplitude from the dilaton-dilatino closed string scattering amplitude in type IIB superstring theory, in the framework of the gauge/string theory duality. We investigate its high-energy scaling at fixed angle and also in the Regge limit. We derive the leading and sub-leading terms contributing to the scattering cross section. This dual calculation of the glueball-fermion scattering amplitude is particularly interesting since it involves the scattering of two different types of external states. We calculate explicitly some angular integrals for two scalar spherical harmonics and two spinor spherical harmonics on the five-sphere, leading to selection rules.