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 $B_{(s)}\to \pi ,K,\eta$ and $D_{(s)}\to \pi ,K,\eta$ transitions at momentum transfer $q^2$ away from the endpoint $q_{\max }^2=(m_B-m_M{)}^2$. We compare our results with CLEO $D\to \pi$ and $D\to K$ data. We also calculate the Isgur-Wise function of the $B_{(s)}\to D_{(s)}$ 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.

24 pages

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Cited by in corpus (21)

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• $B\to K$ and $D\to K$ form factors from fully relativistic lattice QCD
• Semileptonic $D_{(s)}$-meson decays in the light of recent data
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• Improved $V_{cs}$ determination using precise lattice QCD form factors for $D\to K\ell \nu$
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• On the factorization of chiral logarithms in the pion form factors
• The Pion Mass and Decay Constant at Three Loops in Two-Flavour Chiral Perturbation Theory
• Long-distance weak annihilation contribution to the $B^{\pm }\to ({\pi }^{\pm },K^{\pm }){\ell }^{+}{\ell }^{-}$ decays
• D meson semileptonic form factors in Nf=3 QCD with Möbius domain-wall quarks
• B and Bs semileptonic decay form factors with NRQCD/HISQ quarks
• Testing the Standard Model under the weight of heavy flavors
• Possible lattice approach to B to D pi (K) matrix elements
• Chiral Symmetry and Charmonium Decays to Two Pseudoscalars
• Charm hadrons and lattice QCD
• $D\to \pi$ and $D\to K$ semileptonic form factors with $N_f=2+1+1$ twisted mass fermions