$η\to 3 π$ at Two Loops In Chiral Perturbation Theory

Details $η\to 3 π$ at Two Loops In Chiral Perturbation Theory $η\to 3 π$ at Two Loops In Chiral Perturbation Theory

2007-09-03

arxiv.org/abs/0709.0230v2

JHEP 0711:030,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

35p, some misprints corrected and a wrong figure replace. Some sentences reformulated and Sect. 2 shortened

Scientific paper

10.1088/1126-6708/2007/11/030

We calculate the decay $\eta\to3\pi$ at next-to-next-to-leading order or order $p^6$ in Chiral Perturbation Theory. The corrections are somewhat larger than was indicated by dispersive estimates. We present numerical results for the Dalitz plot parameters, the ratio $r$ of the neutral to charged decay and the total decay rate. In addition we derive an inequality between the slope parameters of the charged and neutral decay. The experimental charged decay rate leads to central values for the isospin breaking quantities $R=42.2$ and $Q=23.2$.

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