Matter couplings and equivalence principles for soft scalars

Bonifacio, James; Hinterbichler, Kurt; Johnson, Laura A.; Joyce, Austin; Rosen, Rachel A.

doi:10.1007/jhep07(2020)056

Matter couplings and equivalence principles for soft scalars

Journal Article · Wed Jul 08 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep07(2020)056· OSTI ID:1802297

Bonifacio, James ^[1]; Hinterbichler, Kurt ^[2]; Johnson, Laura A. ^[2]; Joyce, Austin ^[3]; Rosen, Rachel A. ^[3]

Case Western Reserve Univ., Cleveland, OH (United States). Dept. of Physics. CERCA; OSTI
Case Western Reserve Univ., Cleveland, OH (United States). Dept. of Physics. CERCA
Columbia Univ., New York, NY (United States). Dept. of Physics. Center for Theoretical Physics

Scalar effective field theories with enhanced soft limits behave in many ways like gauge theories and gravity. In particular, symmetries fix the structure of interactions and the tree-level S-matrix in both types of theories. We explore how this analogy persists in the presence of matter by considering theories with additional fields coupled to the Dirac-Born-Infeld (DBI) scalar or the special galileon in a way that is consistent with their symmetries. Using purely on-shell arguments, we show that these theories obey analogues of the S-matrix equivalence principle whereby all matter fields must couple to the DBI scalar or the special galileon through a particular quartic vertex with a universal coupling. These equivalence principles imply the universality of the leading double soft theorems in these theories, which are scalar analogues of Weinberg’s gravitational soft theorem, and can be used to rule out interactions with massless higher-spin fields when combined with analogues of the generalized Weinberg-Witten theorem. We verify in several examples that amplitudes with external matter fields nontrivially exhibit enhanced single soft limits and we show that such amplitudes can be constructed using soft recursion relations when they have sufficiently many external DBI or special galileon legs, including amplitudes with massive higher-spin fields. As part of our analysis we construct a recently conjectured special galileon-vector effective field theory.

View Accepted Manuscript (DOE)

Research Organization:: Columbia Univ., New York, NY (United States); Case Western Reserve Univ., Cleveland, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0011941; SC0019143

OSTI ID:: 1802297

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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