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Published June 29, 2018 | Submitted + Published
Journal Article Open

Vector Effective Field Theories from Soft Limits


We present a bottom-up construction of vector effective field theories using the infrared structure of scattering amplitudes. Our results employ two distinct probes of soft kinematics: multiple soft limits and single soft limits after dimensional reduction applicable in four and general dimensions, respectively. Both approaches uniquely specify the Born-Infeld (BI) model as the only theory of vectors completely fixed by certain infrared conditions which generalize the Adler zero for pions. These soft properties imply new recursion relations for on-shell scattering amplitudes in BI theory and suggest the existence of a wider class of vector effective field theories.

Additional Information

© 2018 Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3. Received 8 January 2018; revised manuscript received 16 April 2018; published 29 June 2018. We thank Nima Arkani-Hamed for useful discussions. This work is supported in part by Czech Government Projects No. GACR 18-17224S and No. LTAUSA17069. C. C. and C.W. are supported by a Sloan Research Fellowship and a Department of Energy Early Career Award under Grant No. DE-SC0010255. J. T. is supported by Department of Energy Grant No. DE-SC0009999.

Attached Files

Published - PhysRevLett.120.261602.pdf

Submitted - 1801.01496.pdf


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