https://doi.org/10.1140/epjc/s10052-011-1671-9
Regular Article - Theoretical Physics
Pion mass dependence of the K l3 semileptonic scalar form factor within finite volume
1
Physics Department, Faculty of Sciences, Arak University, Arak, 38156-8-8349, Iran
2
Physics Department, Kerman Shahid Bahonar University, Kerman, Iran
3
Physics Department, Yazd University, Yazd, 89195-741, Iran
4
School of Particles and Accelerators, IPM (Institute for Research in Fundamental Sciences), P.O. Box 19395-5531, Tehran, Iran
* e-mail: kghorbani@ipm.ir
Received:
1
March
2011
Revised:
11
May
2011
Published online:
17
June
2011
We calculate the scalar semileptonic kaon decay in finite volume at the momentum transfer t m =(m K −m π )2, using chiral perturbation theory. At first we obtain the hadronic matrix element to be calculated in finite volume. We then evaluate the finite size effects for two volumes with L=1.83 fm and L=2.73 fm and find that the difference between the finite volume corrections of the two volumes are larger than the difference as quoted in Boyle et al. (Phys. Rev. Lett. 100:141601, 2008). It appears then that the pion masses used for the scalar form factor in ChPT are large which result in large finite volume corrections. If appropriate values for pion mass are used, we believe that the finite size effects estimated in this paper can be useful for lattice data to extrapolate at large lattice size.
© Springer-Verlag / Società Italiana di Fisica, 2011
