Spinning S-matrix Bootstrap in 4d
Aditya Hebbar, Denis Karateev, Joao Penedones
TL;DR
This paper reviews unitarity and crossing symmetry constraints on 4d particle scattering amplitudes, applying the numerical S-matrix bootstrap to estimate bounds on couplings for spin-1/2 fermions.
Contribution
It introduces a numerical bootstrap approach to derive non-perturbative bounds on couplings in 4d fermion scattering, extending previous methods to include spin.
Findings
Estimated bounds on quartic couplings for spin-1/2 fermions.
Derived non-perturbative constraints on Yukawa interactions.
Demonstrated the effectiveness of the S-matrix bootstrap in 4d quantum field theories.
Abstract
We review unitarity and crossing constraints on scattering amplitudes for particles with spin in four dimensional quantum field theories. As an application we study two to two scattering of neutral spin 1/2 fermions in detail. Assuming Mandelstam analyticity of its scattering amplitude, we use the numerical S-matrix bootstrap method to estimate various non-perturbative bounds on quartic and cubic (Yukawa) couplings.
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