$K_{\ell3}$ decays in Chiral Perturbation Theory

Details $K_{\ell3}$ decays in Chiral Perturbation Theory $K_{\ell3}$ decays in Chiral Perturbation Theory

2003-03-13

arxiv.org/abs/hep-ph/0303103v2

Nucl.Phys.B669:341-362,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, changes: comparison with work of Post-Schilcher extended, comparison with KEK PS E246 added and a value for V_us inc

Scientific paper

10.1016/S0550-3213(03)00581-9

The process $K_{\ell3}$ is calculated to two-loop order ($p^6$) in Chiral Perturbation Theory (ChPT) in the isospin conserved case. We present expressions suitable for use with previous work in two-loop CHPT where the order $p^4$ parameters ($L_i^r$) were determined from experiment. We point out that all the order $p^6$ parameters ($C_i^r$) that appear in the value of $f_+(0)$ relevant for the determination of $|V_{us}|$ can be determined from $K_{\ell3}$ measurements via the slope and the curvature of the scalar form-factor. As a by product we update the value of the CKM matrix element $| V_{us} |$.

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