Hard Pion Chiral Perturbation Theory for $B\toπ$ and $D\toπ$ Formfactors

Details Hard Pion Chiral Perturbation Theory for $B\toπ$ and $D\toπ$ Formfactors Hard Pion Chiral Perturbation Theory for $B\toπ$ and $D\toπ$ Formfactors

2010-06-07

arxiv.org/abs/1006.1197v2

Nucl.Phys.B840:54-66,2010; Erratum-ibid.B844:182-183,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, two wrong statements about relation relativistic-heavy meson formfactors changed and (a lot of) misprints corrected.

Scientific paper

10.1016/j.nuclphysb.2010.06.021

We use one-loop Heavy Meson Chiral Perturbation Theory (HMCHPT) as well as a relativistic formulation to calculate the chiral logarithms $m^2_\pi\log{\left(m^2_\pi/\mu^2\right)}$ contributing to the formfactors of the semileptonic $B\rightarrow \pi$ decays at momentum transfer $q^2$ away from $q^2_\mathrm{max}=(m_B-m_\pi)^2$. We give arguments why this chiral behavior is reliable even in the energy regime with hard or fast pions. These results can be used to extrapolate the formfactors calculated on the lattice to lower light meson masses.

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