University of Hyderabad

Four-point amplitudes on the Coulomb branch of planar super Yang–Mills had a deformed-Amplituhedron description only for a two-parameter mass configuration. Encoding the external massive kinematics in a six-parameter embedding-space Gram matrix, and using copositivity of its inverse to decide which algebraic intersections enter the real positive region, restricts the two-loop canonical numerator to the span of the two planar double boxes. In a three-parameter subfamily the one- and two-loop integrals are given analytically in multiple polylogarithms, the infrared logarithms still exponentiate at two loops, and the two-loop walking anomalous dimension is fixed.

Four-point amplitudes on the Coulomb branch of planar super Yang–Mills had a deformed-Amplituhedron description only for a two-parameter mass configuration. Encoding the external massive kinematics in a six-parameter embedding-space Gram matrix, and using copositivity of its inverse to decide which algebraic intersections enter the real positive region, restricts the two-loop canonical numerator to the span of the two planar double boxes. In a three-parameter subfamily the one- and two-loop integrals are given analytically in multiple polylogarithms, the infrared logarithms still exponentiate at two loops, and the two-loop walking anomalous dimension is fixed.