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Vector Effective Field Theories from Soft Limits
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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.
Forward citations
Cited by 3 Pith papers
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$N$-Photon Amplitudes in EFT from Recursion Relations and Effective Vertices
A CSW-like recursion plus a 'contact Lagrangian' computes arbitrary tree-level N-photon amplitudes in general EFTs, with results through 10 photons in Born-Infeld theory.
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New recursive construction for tree NLSM and SG amplitudes, and new understanding of enhanced Adler zero
Recursive construction of off-shell NLSM and SG tree amplitudes from bootstrapped low-point ones via universal soft behaviors, automatically producing enhanced Adler zeros on-shell.
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Note on tree NLSM amplitudes and soft theorems
The paper constructs general tree NLSM amplitudes via an expanded formula enforced by Adler zero universality and derives the corresponding double soft factors.
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