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Johan Bijnens, Ilaria Jemos
Vector Formfactors in Hard Pion Chiral Perturbation Theory
Abstract
We use three-flavour hard pion Chiral Perturbation Theory (HPChPT) in both
the heavy meson and a relativistic formulation to calculate the chiral
logarithms $m^2\log(m^2/\mu^2)$ contributing to the formfactors of the
$B_{(s)}\rightarrow \pi,K,\eta$ and $D_{(s)}\rightarrow \pi,K,\eta$
transitions at momentum transfer $q^2$ away from the endpoint
$q^2_\mathrm{max}=(m_B-m_M)^2$. We compare our results with CLEO $D\to\pi$
and $D\to K$ data. We also calculate the Isgur-Wise function of the
$B_{(s)}\rightarrow D_{(s)}$ semileptonic decay away from the endpoint and
the chiral logarithms for the pion and kaon electromagnetic formfactor.
In two-flavour HPChPT we calculate the chiral logarithms for the pion
vector and the scalar formfactors at $s\gg m_\pi^2$. This allows us to
test hard pion ChPT using the existing two-loop calculations for these
quantities.
LU TP 10-27
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