The European Physical Journal A

, Volume 44, Issue 2, pp 175–179

Stringent constraints on the scalar K\( \pi\) form factor from analyticity, unitarity and low-energy theorems

Authors

  • Gauhar Abbas
    • Centre for High Energy PhysicsIndian Institute of Science
    • Centre for High Energy PhysicsIndian Institute of Science
  • I. Caprini
    • National Institute of Physics and Nuclear Engineering
  • I. Sentitemsu Imsong
    • Centre for High Energy PhysicsIndian Institute of Science
  • S. Ramanan
    • Centre for High Energy PhysicsIndian Institute of Science
Open AccessLetter

DOI: 10.1140/epja/i2010-10969-y

Cite this article as:
Abbas, G., Ananthanarayan, B., Caprini, I. et al. Eur. Phys. J. A (2010) 44: 175. doi:10.1140/epja/i2010-10969-y

Abstract

We investigate the scalar K\( \pi\) form factor at low energies by the method of unitarity bounds adapted so as to include information on the phase and modulus along the elastic region of the unitarity cut. Using at input the values of the form factor at t = 0 and the Callan-Treiman point, we obtain stringent constraints on the slope and curvature parameters of the Taylor expansion at the origin. Also, we predict a quite narrow range for the higher-order ChPT corrections at the second Callan-Treiman point.

Download to read the full article text

Copyright information

© The Author(s) 2010

Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.