Generalized positivity bounds on chiral perturbation theory
Yu-Jia Wang; Feng-Kun Guo; Cen Zhang; Shuang-Yong Zhou · 2020 · arXiv
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Abstract (excerpt)
Recently, a new set of positivity bounds with $t$ derivatives have been discovered. We explore the generic features of these generalized positivity bounds with loop amplitudes and apply these bounds to constrain the parameters in chiral perturbation theory up to the next-to-next-to-leading order. We show that the generalized positivity bounds give rise to stronger constraints on the $\bar l_i$ constants, compared to the existing axiomatic bounds. The parameter space of the $b_i$ constants is constrained by the generalized positivity bounds to be a convex region that is enclosed for many sectio
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Metadata source: arXiv