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arxiv: 0911.4447 · v1 · pith:UIFRHRNKnew · submitted 2009-11-23 · ✦ hep-ph

Positivity constraints on LECs of chiPT lagrangian at cO(p⁶) level

classification ✦ hep-ph
keywords constraintslagrangianlecspositivityautomaticallycasedemonstratediscussed
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Positivity constraints on the LECs of $\cO(p^6)$ $\chi$PT lagrangian are discussed. We demonstrate that the constraints are automatically satisfied inside the Mandelstam triangle for $\pi\pi$ scatterings, when $N_C$ is large. Numerical tests are made in the $N_C=3$ case, and it is found that these constraints are also well respected.

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