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Paper   IPM / Particles / 11611
School of Particles and Accelerator
  Title:   pion mass dependence of the Kl3 semileptonic scalar form factor within finite volume
1.  Karim Ghorbani
2.  Mohammad Mehdi Yazdanpanah
3.  Abolfazl Mirjalili
  Status:   Published
  Journal: Eur. Phys. J. C
  No.:  06
  Vol.:  71
  Year:  2011
  Pages:   1671-9
  Supported by:  IPM
We calculate the scalar semileptonic kaon decay in finite volume at the momentum transfer tm = (mK #8722;m #960; )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.

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