Generalized Bootstrap Equations and possible implications for the NLO Odderon

TL;DR

This paper introduces generalized bootstrap equations in nonabelian gauge theories, demonstrating their validity at NLO and deriving an NLO Odderon solution with intercept exactly at one, relevant for N=4 SYM and planar QCD.

Contribution

The paper formulates generalized bootstrap equations in nonabelian gauge theories and shows their validity at NLO, enabling the derivation of the NLO Odderon solution with intercept at one.

Findings

Bootstrap equations hold at NLO in N=4 SYM.

NLO Odderon intercept is exactly one.

Results are applicable to planar QCD.

Abstract

We formulate and discuss generalized bootstrap equations in nonabelian gauge theories. They are shown to hold in the leading logarithmic approximation. Since their validity is related to the self-consistency of the Steinmann relations for inelastic production amplitudes they can be expected to be valid also in NLO. Specializing to the N=4 SYM, we show that the validity in NLO of these generalized bootstrap equations allows to find the NLO Odderon solution with intercept exactly at one, a result which is valid also for the planar limit of QCD.