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,...

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Bibliographic Details
Published in:Physical review letters 2018-06, Vol.120 (26), p.261602-261602, Article 261602
Main Authors: Cheung, Clifford, Kampf, Karol, Novotny, Jiri, Shen, Chia-Hsien, Trnka, Jaroslav, Wen, Congkao
Format: Article
Language:English
Subjects:
Amplitudes
Kinematics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Pions
Scattering
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.120.261602