MHV amplitudes at strong coupling and linearized TBA equations

Understand

The maximally helicity violating (MHV) amplitudes of ${\cal N} =4$ super Yang-Mills theory at strong coupling are obtained by solving auxiliary thermodynamic Bethe ansatz (TBA) integral equations.

• We consider a limit where the TBA equations are linearized for large chemical potentials and masses therein.
• By solving the linearized equations, we derive analytic expansions of the 6-point MHV amplitudes in terms of the ratio of the chemical potential $A$ and the mass $M$.
• The expansions are valid up to corrections exponentially small in $A$ or inversely proportional to powers of $A$.