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

References in corpus (16)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• New Relations for Gauge-Theory Amplitudes
• Gluon scattering amplitudes at strong coupling
• Fractional M2-branes
• Algorithm FIRE -- Feynman Integral REduction
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• On form factors in N=4 sym
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory
• One Loop Amplitudes In ABJM
• Correlation functions of local composite operators from generalized unitarity
• Giant Gravitons on AdS_4 x CP^3 and their Holographic Three-point Functions
• Light-like Wilson loops in ABJM and maximal transcendentality
• Two-loop Sudakov Form Factor in ABJM
• The two-loop six-point amplitude in ABJM theory

Cited by in corpus (16)

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• Cutting through form factors and cross sections of non-protected operators in N=4 SYM
• On-shell Diagrams, Graßmannians and Integrability for Form Factors
• On super form factors of half-BPS operators in N=4 super Yang-Mills
• On Form Factors in N=4 SYM Theory and Polytopes
• Light-like Wilson loops in ABJM and maximal transcendentality
• Two-loop Sudakov Form Factor in ABJM
• Grassmannians and form factors with $q^2=0$ in N=4 SYM theory
• Non-planarity through unitarity in ABJM
• Form Factor and Boundary Contribution of Amplitude
• ABJ(M) Chiral Primary Three-Point Function at Two-loops
• ABJM amplitudes and WL at finite N
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• An Extremal Chiral Primary Three-Point Function at Two-loops in ABJ(M)
• Lagrangian Insertion in the Light-Like Limit and the Super-Correlators/Super-Amplitudes Duality
• On-shell Methods for Form Factors in N=4 SYM and Their Applications