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Abstract
We calculate the decay rates for KS → γγ and KS → γl+l− (l = e or μ)within a dispersive framework in which the weak Hamiltonian carries momentum. Given input from KS → ππ and γγ(*)→ππ, we solve the once-subtracted dispersion relations numerically and find that final-state ππ interactions generate sizeable corrections to the predictions from 3-flavour chiral perturbation theory. Our analysis predicts BR(KS → γγ) = (2.34 ± 0.31) × 10−6, BR(KS → γe+e−) = (4.38 ± 0.57) × 10−8, and BR(KS → γμ+μ−) = (1.45 ± 0.27) × 10−9.
Highlights
Dispersion relations offer a means to address items (i) and (ii) within a model-independent framework. In this talk we consider the application of these methods to KS → γγ∗ transitions [11], with the two-fold aim of (a) extending the predictions from LO χPT3 to fully account for effects due to final-state interactions (FSI), and (b) providing a reliable estimate for the theory uncertainty
This suggests that the effects from FSI are not fully accounted for in the lattice result; see e.g. [17, 18] for further details
We expect that at the physical point h → 0, the contributions to the S wave coming from discontinuities in the t and u channels are negligible
Summary
This content has been downloaded from IOPscience. Ser. 800 012034 (http://iopscience.iop.org/1742-6596/800/1/012034) View the table of contents for this issue, or go to the journal homepage for more. You may be interested in: Anharmonic oscillator discontinuity formulae Gabriel Álvarez, Christopher J Howls and Harris J Silverstone On the massless contributions to the vacuum polarization of heavy quarks J Portolés and P D Ruiz-Femenía Is there a scalar form-factor suppression of the nucleon sigma -term? S A Coon and M D Scadron Dispersive hyperasymptotics and the anharmonic oscillator Gabriel Álvarez, Christopher J Howls and Harris J Silverstone Elastic scattering of hadrons at high energies L S Zolin, A B Kadalov, V A Sviridov et al A simple approach to the ABJ axial anomaly J Horejsi Current algebra, PCAC and the quark model M D Scadron You may be interested in: Anharmonic oscillator discontinuity formulae Gabriel Álvarez, Christopher J Howls and Harris J Silverstone On the massless contributions to the vacuum polarization of heavy quarks J Portolés and P D Ruiz-Femenía Is there a scalar form-factor suppression of the nucleon sigma -term? S A Coon and M D Scadron Dispersive hyperasymptotics and the anharmonic oscillator Gabriel Álvarez, Christopher J Howls and Harris J Silverstone Elastic scattering of hadrons at high energies L S Zolin, A B Kadalov, V A Sviridov et al A simple approach to the ABJ axial anomaly J Horejsi Current algebra, PCAC and the quark model M D Scadron
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