1301.0919 (Karim Ghorbani)

Kaon semi-leptonic form factor at zero momentum transfer in finite
volume    [PDF]

Karim Ghorbani

Using Chiral Perturbation Theory, we investigate the volume dependence of the kaon semi-leptonic vector form factor at zero momentum transfer up to one loop order. We obtain the form factor for two volumes with L = 1.83 fm and L = 2.73 fm and compare our results with the lattice data as quoted in Boyle et al. (Phys. Rev. Lett. 100 (2008) 141601). It turns out that our ChPT results in both volumes are in good accord with the lattice data such that the discrepancy is at most 1.1 pecent. This study therefore, suggests that SU(3) ChPT is a reliable tool for lattice data, concerting vector form factor at zero momentum transfer, to extrapolate at large lattice size.

View original: http://arxiv.org/abs/1301.0919