Positivity constraints on LECs of $χ$PT lagrangian at $\cO(p^6)$ level

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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9 pages with 2 eps figures

Scientific paper

10.1063/1.3574995

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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