Special Galileon at one loop

Abstract

We present a complete one-loop renormalization of the Special Galileon $S-$matrix. Especially we give a complete list of the higher derivative operators which are necessary for one-loop on-shell renormalization and prove the invariance of the one-loop on-shell effective action with respect to the Special Galileon symmetry. This enables us to enlarge the validity of the enhanced $O(p^3)$ soft behavior of the scattering amplitudes to the one-loop level. As an illustration we discuss explicitly the four-point and five-point one-loop scattering amplitudes and comment on some conjectures appearing in the existing literature.

28 pages

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Cited by in corpus (4)

• Shift symmetries, soft limits, and the double copy beyond leading order
• Quantum Corrections to Generic Branes: DBI, NLSM, and More
• Matter Couplings and Equivalence Principles for Soft Scalars
• Geometric duality between effective field theories I: scattering amplitudes