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

Abstract

We use one-loop Heavy Meson Chiral Perturbation Theory (HMCHPT) as well as a relativistic formulation to calculate the chiral logarithms $m_{\pi }^2\log \left(m_{\pi }^2/{\mu }^2\right)$ contributing to the formfactors of the semileptonic $B\to \pi$ decays at momentum transfer $q^2$ away from $q_{\max }^2=(m_B-m_{\pi }{)}^2$. 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.

arXiv comment16 pages, two wrong statements about relation relativistic-heavy meson formfactors changed and (a lot of) misprints corrected. These include misprints in the main results

References in corpus (15)

• New features of FORM
• The Mesonic Chiral Lagrangian of Order $p^6$
• Light-cone sum rules for $B\to \pi$ form factors revisited
• Pion and Kaon Electromagnetic Form Factors
• Chiral Perturbation Theory for SU(3) Breaking in Heavy Meson Systems
• Measurement of the B0 --> pi l nu Form-Factor Shape and Branching Fraction, and Determination of |Vub| with a Loose Neutrino Reconstruction Technique
• Measurements of branching fractions and $q^2$ distributions for $B\to \pi \ell \nu$ and $B\to \rho \ell \nu$ Decays with $B\to D^{(\ast )}\ell \nu$ Decay Tagging
• $\bar B\to\bar K\e^+\e^-$ in Chiral Perturbation Theory
• A Study of Exclusive Charmless Semileptonic B Decay and |V_ub|
• Study of D0 --> pi- e+ nu(e), D+ --> pi0 e+ nu(e), D0 --> K- e+ nu(e), and D+ --> anti-K0 e+ nu(e) in Tagged Decays of the psi(3770) Resonance
• SU(2) chiral perturbation theory for Kl3 decay amplitudes
• $K\to \pi \pi$ Decays in SU(2) Chiral Perturbation Theory
• B --> pi and B --> K transitions in partially quenched chiral perturbation theory
• Combining Chiral and Heavy Quark Symmetries
• Soft Collinear Effective Theory: An Overview

Cited by in corpus (28)

• FLAG Review 2019
• FLAG Review 2021
• QCD and strongly coupled gauge theories: challenges and perspectives
• On B -> V l l at small dilepton invariant mass, power corrections, and new physics
• $|V_{ub}|$ from $B\to \pi \ell \nu$ decays and (2+1)-flavor lattice QCD
• $B\to \pi \ell \nu$ and $B_s\to K\ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• $B\to K{l}^{+}{l}^{-}$ decay form factors from three-flavor lattice QCD
• Rare decay B -> K ll form factors from lattice QCD
• $B_s\to K\ell \nu$ form factors from lattice QCD
• Phenomenology of semileptonic B-meson decays with form factors from lattice QCD
• FLAG Review 2024
• $B\to \pi \ell \ell$ form factors for new-physics searches from lattice QCD
• ${\mathbf{B}}_{\mathbf{s}}\to {\mathbf{K}}^{(\ast )}\mathbf{\ell }\bar{\nu }$, Angular Analysis, S-wave Contributions and $|{\mathbf{V}}_{\mathbf{ub}}|$
• Form factors of $B\to \pi \ell \nu$ and a determination of $|V_{ub}|$ with Möbius domain-wall-fermions
• Vector Formfactors in Hard Pion Chiral Perturbation Theory
• Heavy flavour kinetic equilibration in the confined phase
• D-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD
• Exclusive semileptonic $B_s\to K\ell \nu$ decays on the lattice
• Form factor ratios for $B_s\to K\ell \nu$ and $B_s\to D_s\ell \nu$ semileptonic decays and $|V_{ub}/V_{cb}|$
• Implications of unitarity and analyticity for the Dπform factors
• On the factorization of chiral logarithms in the pion form factors
• Long-distance weak annihilation contribution to the $B^{\pm }\to ({\pi }^{\pm },K^{\pm }){\ell }^{+}{\ell }^{-}$ decays
• Testing the Standard Model under the weight of heavy flavors
• Possible lattice approach to B to D pi (K) matrix elements
• Heavy-meson semileptonic decays for the Standard Model and beyond
• Phenomenology from the Lattice
• $B$-meson semileptonic form factors on (2+1+1)-flavor HISQ ensembles
• Chiral Symmetry and Charmonium Decays to Two Pseudoscalars