Positivity bounds on vector boson scattering
June 17, 2020
While Standard Model Effective Field Theory (SMEFT) systematically categorizes possible new physics beyond the Standard Model, the parameter space of the SMEFT Wilson coefficients is extremely vast in the current standard approach, which hinders experimental searches for new physics. However, there are actually consistent conditions for the Wilson coefficients, arising from requiring that SMEFT or, more precisely, the underlying higher energy theory satisfies some axiomatic principles of quantum field theory. These consistent conditions go by the name of positivity bounds, and the SMEFT parameter space can be significantly reduced by imposing these positivity bounds. Particularly, we show that for the dim-8 subspace involving vector boson scattering, only about 2% of the total parameter space satisfies the positivity bounds and thus the majority of the naive SMEFT parameter space is theoretically inconsistent/unphysical.
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