The complete one-loop BMN S-matrix in AdS(3) x S(3) x T(4)

Understand

We compute the full one-loop 2-particle S-matrix for excitations of the type IIB AdS(3) x S(3) x T(4) BMN string.

• The S-matrix is found to respect the expected symmetries and the phases are consistent with the crossing equations.
• By analyzing how the relevant integrals scale with the IR regulator we show that scattering of massless bosons is trivial at two loops.
• Based on our results we argue that the additional su(2) S-matrix appearing in the massless sector in the exact solution should trivialize.