One-loop renormalization in Galileon effective field theory

Abstract

We investigate the renormalization structure of scalar Galileons in flat spacetime. We explicitly calculate the ultraviolet divergent one-loop contributions to the 2-point, 3-point, 4-point, and 5-point functions. We discuss the structure of the counterterms and their hierarchy within an effective field theory expansion. We comment on different resummation schemes, including a geometric resummation for which our results could be generalized to arbitrary n-point functions.

Comments: 14 pages; typos corrected, references updated, published in JCAP; the divergent off-shell contributions to the 1PI one-loop diagrams for the 2-point, 3-point, 4-point, and 5-point functions are provided in an ancillary file (txt format)