Form Factors of Chiral Primary Operators at Two Loops in ABJ(M)

Abstract

We calculate the colour-ordered form factor for chiral primary operators built from J scalar fields of ABJ(M) theory to J scalar final states. We work in the 't Hooft limit and show that the leading quantum correction is order lambda squared, where lambda is the 't Hooft coupling. We evaluate this leading correction using standard Feynman diagrams and dimensional regularization, and find that the leading divergence is 1/epsilon^2 where the spacetime dimension is d = 3 - 2 epsilon. We further find that the result respects maximal transcendentality.

22 pages. v2 updated references. v3 minor improvements to text, version to appear in JHEP. v4 error in ABJ J=2 colour factor corrected. v5 typos: signs in Feynman rules A.1 and A.2 corrected, typo in (2.15) corrected