Dispersive representation and shape of the Kl3 form factors: robustness

Abstract

An accurate low-energy dispersive parametrization of the scalar Kpi form factor was constructed some time ago in terms of a single parameter guided by the Callan-Treiman low-energy theorem. A similar twice subtracted dispersive parametrization for the vector Kpi form factor will be investigated here. The robustness of the parametrization of these two form factors will be studied in great detail. In particular the cut-off dependence, the isospin breaking effects and the possible, though not highly probable, presence of zeros in the form factors will be discussed. Interesting constraints in the latter case will be obtained from the soft-kaon analog of the Callan-Treiman theorem and a comparison with the recent tau --> K pi nu_tau data.

24 pages, 11 figures

References in corpus (16)

• Superallowed 0+ to 0+ nuclear beta decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model
• Spectral distribution for the decay tau -> nu_tau K pi
• K pi vector form factor, dispersive constraints and tau -> nu_tau K pi decays
• Isospin breaking in Kl4 decays
• What can be learned from the Belle spectrum for the decay tau- -> nu_tau K_S pi-
• Analyticity constraints on the strangeness changing vector current and applications to $\tau \to K\pi {\nu }_{\tau }$, $\tau \to K\pi \pi {\nu }_{\tau }$
• Measurement of the Form-Factor Slopes for the Decay KLe3 with the KLOE Detector
• Matching Chiral Perturbation Theory and the Dispersive Representation of the Scalar Kpi Form Factor
• Scalar radius of the pion and zeros in the form factor
• Tests of non-standard electroweak couplings of right-handed quarks
• The Kl3 scalar form factors in the standard model
• Constraints on the form factors for K --> pi l nu and implications for V_us
• Parametrisations of the D -> K l nu form factor and the determination of \hat{g}
• Theoretical progress on cusp effect and Kl4 decays
• Improved KL->pi e nu Form Factor and Phase Space Integral with Reduced Model Uncertainty
• Chiral Dynamics beyond the Standard Model

Cited by in corpus (22)

• K pi vector form factor constrained by tau ---> K pi nu_tau and K_l3 decays
• Global Fit of Modified Quark Couplings to EW Gauge Bosons and Vector-Like Quarks in Light of the Cabibbo Angle Anomaly
• Hadronic vacuum polarization function within dispersive approach to QCD
• Chiral dynamics with strange quarks in the light of recent lattice simulations
• Electron-positron annihilation into hadrons at the higher-loop levels
• The Flavourful Present and Future of 2HDMs at the Collider Energy Frontier
• A New Theory Framework for the Electroweak Radiative Corrections in $K_{l3}$ Decays
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Improving the phenomenology of K_{l3} form factors with analyticity and unitarity
• ALP-Pions generalized
• Dispersive treatment of $K_S\to \gamma \gamma$ and $K_S\to \gamma {\ell }^{+}{\ell }^{-}$
• $K_{\ell 3}$ form factors at the physical point: Toward the continuum limit
• Towards a discovery of BSM physics from the Cabibbo angle anomaly
• V_us from kaon decays
• Workshop summary -- Kaons@CERN 2023
• ${\pi }_{e3}$ form factor $f_{-}$ near the mass shell
• The Kpi vector form factor and constraints from Kl3 decays
• The $K\pi$ form factors from Analyticity and Unitarity
• Electron Mass Singularities in Semileptonic Kaon Decays
• Resonance Chiral Lagrangians and alternative approaches to hadronic tau decays
• The $D\pi$ form factors from analyticity and unitarity
• Global Determination of $|V_{us}|$