Pion mass dependence of the $K_{l3}$ semileptonic scalar form factor within finite volume

Details Pion mass dependence of the $K_{l3}$ semileptonic scalar form factor within finite volume Pion mass dependence of the $K_{l3}$ semileptonic scalar form factor within finite volume

2010-12-13

arxiv.org/abs/1012.2733v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 5 figures, accepted for publication in EPJC

Scientific paper

We calculate the scalar semileptonic kaon decay in finite volume at the momentum transfer $t_{m} = (m_{K} - m_{\pi})^2$, 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 \cite{Boyle2007a}. 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.

Affiliated with

Also associated with

No associations

Rating

Pion mass dependence of the $K_{l3}$ semileptonic scalar form factor within finite volume does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pion mass dependence of the $K_{l3}$ semileptonic scalar form factor within finite volume, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pion mass dependence of the $K_{l3}$ semileptonic scalar form factor within finite volume will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-27280