Abstract
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.
Highlights
Introduction.—On-shell scattering amplitudes are fundamental physical observables in quantum field theory
While most progress has centered on theories of maximal supersymmetry (SUSY) at high loop orders, surprises have arisen even in the case of tree-level effective field theories (EFTs)
On-shell tree amplitudes in gauge theory and gravity are completely fixed by gauge invariance and proper factorization on poles, lim A
Summary
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. ; ð1Þ where the sum runs over all internal states Alas, this approach does not uniquely specify EFTs, which exhibit higher-dimensional contact terms in the Lagrangian that are invisible on factorization kinematics.
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