2008

SU(2) chiral perturbation theory for Kl3 decay amplitudes

Flynn, J. M., Sachrajda, C. T.

Understand

We use one-loop $\SU(2)_L\times \SU(2)_R$ chiral perturbation theory ($\SU(2)$ ChPT) to study the behaviour of the form-factors for semileptonic $K\to\pi$ decays with the pion mass at $q^2=0$ and at $q^2_{\textrm{max}}=(m_K-m_\pi)^2$, where $q$ is the momentum transfer.

At $q^2=0$, the final-state pion has an energy of approximately $m_K/2$ (for $m_K\gg m_\pi$) and so is not soft, nevertheless it is possible to compute the chiral logarithms, i.e.
the corrections of $O(m_\pi^2\log(m_\pi^2))$.
We envisage that our results at $q^2=0$ will be useful in extrapolating lattice QCD results to physical masses.

Built on

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Similar

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Then

C. T. Sachrajda and G. Villadoro, Twisted boundary conditions in lattice simulations
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Later among the works it cites.
P. F. Bedaque and J.-W. Chen, Twisted valence quarks and hadron interactions on the lattice
2005
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C. Dawson, T. Izubuchi, T. Kaneko, S. Sasaki, and A. Soni, Vector form factor in K ℓ 3 K_{\ell 3} semileptonic decay with two flavors of dynamical domain-wall quarks
2006
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E. Gulez et al
2007
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P. A. Boyle, J. M. Flynn, A. Jüttner, C. T. Sachrajda, and J. M. Zanotti, Hadronic form factors in lattice QCD at small and vanishing momentum transfer
Original
2007
Later among the works it cites.
Particle Data Group
2008
Closest in time.
P. A. Boyle and others (RBC/UKQCD Collaboration), K ℓ 3 K_{\ell 3} semileptonic form factor from 2 + 1 2+1 flavour lattice QCD
2008
Closest in time.

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