Coulomb Phase Gluon Scattering at Strong Coupling

TL;DR

This paper computes corrections to gluon scattering amplitudes in a Coulomb phase using gauge/string duality, analyzing different energy scales and showing some corrections are IR regulator independent and finite.

Contribution

It introduces a calculation of gluon scattering corrections in a Coulomb phase with multiple scales, extending previous work to include massive gauge bosons and different energy regimes.

Findings

Corrections are finite below threshold with large W-boson mass.

In the high-energy limit, corrections are computed for different scales.

Some corrections are independent of the IR regulator.

Abstract

We calculate corrections to gluon scattering amplitudes in a Coulomb phase using gauge/string duality. The Coulomb phase considered is a maximal rank breaking of $SU(n_1+n_2)\to SU(n_1)\times SU(n_2) \times U(1)$. This problem therefore has 3 scales involved: 1) the scale of the massive fields $M_W$ arising from the spontaneous breaking of the gauge group; 2) The scale of the scattering, characterized by the Mandelstam variables $s,t,u$; 3) The IR regulator $m_{IR}$. We find corrections in the hard scattering limit $ |s|,|t|,|u|\gg m_{IR}^2 \gg M_W^2$, and also find below threshold corrections with $M_W^2 \gg |s|,|t|,|u|$. We find that the corrections in the second case are finite, and so are IR regulator independent.