Dualities for Loop Amplitudes of N = 6 Chern - Simons Matter Theory

In this paper we study the oneand two-loop corrections to the four-point amplitude of N = 6 Chern-Simons matter theory. Using generalized unitarity methods we express the oneand two-loop amplitudes in terms of dual-conformal integrals. Explicit integration by using dimensional reduction gives vanishing one-loop result as expected, while the twoloop result is non-vanishing and matches with the Wilson loop computation. Furthermore, the two-loop correction takes the same form as the one-loop correction to the four-point amplitude of N = 4 super Yang-Mills. We discuss possible higher loop extensions of this correspondence between the two theories. As a side result, we extend the method of dimensional reduction for three dimensions to five dimensions where dual conformal symmetry is most manifest, demonstrating significant simplification to the computation of integrals. Email: [email protected] Email: [email protected]