Contributions of order $\mathcal{O}(m_{\mathrm{quark}}^2)$ to $K_{\ell 3}$ form factors and unitarity of the CKM matrix

Abstract

The form factors for the $K_{\ell 3}$ semileptonic decay are computed to order $O(p^4)$ in generalized chiral perturbation theory. The main difference with the standard $O(p^4)$ expressions consists in contributions quadratic in quark masses, which are described by a single divergence-free low-energy constant, $A_3$. A new simultaneous analysis is presented for the CKM matrix element $V_{us}$, the ratio $F_K/F_{\pi }$, $K_{\ell 3}$ decay rates and the scalar form factor slope ${\lambda }_0$. This framework easily accommodates the precise value for $V_{ud}$ deduced from superallowed nuclear $\beta$-decays.

References in corpus (19)

• The Mesonic Chiral Lagrangian of Order $p^6$
• Extension of the Chiral Perturbation Theory Meson Lagrangian to Order $P^6$
• The Low Energy $\pi \pi$ Amplitude to One and Two Loops
• What $\pi -\pi$ Scattering Tells Us About Chiral Perturbation Theory
• SU(3) symmetry breaking in hyperon semileptonic decays
• Study of tau decays involving kaons, spectral functions and determination of the strange quark mass
• Strange Quark Mass Determination from Cabibbo-Suppressed Tau Decays
• Isospin Violation in Chiral Perturbation Theory and the Decays $η\ra π\ell ν$ and $τ\ra ηπν$
• The Electromagnetic Interaction in Chiral Perturbation Theory
• Radiative Corrections to pi_{l2} and K_{l2} Decays
• Measurement of $B\to \rho \ell \nu$ Decay and $|V_{ub}|$
• SU(3) Breaking Effects in Hyperon Semi-Leptonic Decays and the extraction of F and D
• Double Chiral Logs
• Theoretical Uncertainties in Gamma_sl(b->u)
• Corrections to Sirlin's Theorem in $O(p^6)$ Chiral Perturbation Theory
• The Reaction $\gamma \gamma \to {\pi }^0{\pi }^0$ in Generalized Chiral Perturbation Theory
• A possible experimental determination of $m_s/\hat{m}$ from $K_{\mu 4}$ decays
• Generalized Chiral Perturbation Theory
• Theoretical and phenomenological aspects of G$\chi$PT

Cited by in corpus (10)

• $K_{\ell 3}$ decays in Chiral Perturbation Theory
• Chiral Perturbation Theory Beyond One Loop
• Determination of m_s and |V_us| from hadronic tau decays
• The K -> pi vector form factor at zero momentum transfer on the lattice
• Order p^6 chiral couplings from the scalar K Pi form factor
• $K_{\ell 4}$ Form-Factors and $\pi$-$\pi$ Scattering
• Matching Chiral Perturbation Theory and the Dispersive Representation of the Scalar Kpi Form Factor
• Zweig rule violation in the scalar sector and values of low-energy constants
• Chiral Lagrangians
• Chiral perturbation theory confronted with experiment