Effective Field Theories from Soft Limits of Scattering Amplitudes

Cheung, Clifford; Kampf, Karol; Novotny, Jiri; Trnka, Jaroslav

doi:10.1103/PhysRevLett.114.221602

Title: Effective Field Theories from Soft Limits of Scattering Amplitudes

Journal Article · Fri Jun 05 00:00:00 EDT 2015 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.114.221602· OSTI ID:1596701

Cheung, Clifford ^[1]; Kampf, Karol ^[2]; Novotny, Jiri ^[2]; Trnka, Jaroslav ^[1]

California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
Charles Univ., Prague (Czech Republic). Inst. of Particle and Nuclear Physics

Here, we derive scalar effective field theories—Lagrangians, symmetries, and all—from on-shell scattering amplitudes constructed purely from Lorentz invariance, factorization, a fixed power counting order in derivatives, and a fixed order at which amplitudes vanish in the soft limit. These constraints leave free parameters in the amplitude which are the coupling constants of well-known theories: Nambu-Goldstone bosons, Dirac-Born-Infeld scalars, and Galilean internal shift symmetries. Furthemore, soft limits imply conditions on the Noether current which can then be inverted to derive Lagrangians for each theory. We propose a natural classification of all scalar effective field theories according to two numbers which encode the derivative power counting and soft behavior of the corresponding amplitudes. In those cases where there is no consistent amplitude, the corresponding theory does not exist.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011632; SC0010255

OSTI ID:: 1596701

Alternate ID(s):: OSTI ID: 1183796

Journal Information:: Physical Review Letters, Vol. 114, Issue 22; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 146 works

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