Axial couplings in heavy hadron chiral perturbation theory at the next-to-leading order

Abstract

We present calculations of axial-current matrix elements between various heavy-meson and heavy-baryon states to the next-to-leading order in heavy hadron chiral perturbation theory in the p-regime. When compared with data from lattice computations or experiments, these results can be used to determine the axial couplings in the chiral Lagrangian. Our calculation is performed in partially-quenched chiral perturbation theory for both SU(4|2) and SU(6|3). We incorporate finite-size effects arising from a single Goldstone meson wrapping around the spatial volume. Results for full QCD with two and three flavours can be obtained straightforwardly by taking the sea-quark masses to be equal to the valence-quark masses. To illustrate the impact of our chiral perturbation theory calculation on lattice computations, we analyse the SU(2) full QCD results in detail. We also study one-loop contributions relevant to the heavy hadron strong-decay amplitudes involving final-state Goldstone bosons, and demonstrate that the quark-mass dependence of these amplitudes can be significantly different from that of the axial current matrix elements containing only single hadron external states.

28 pages, 10 figures. Minor changes in Fig. 2, published version

References in corpus (3)

• Determination of B*B pi coupling in unquenched QCD
• The Delta-resonance in a finite volume
• Matrix elements of the complete set of ΔB = 2 and ΔC = 2 operators in heavy meson chiral perturbation theory

Cited by in corpus (13)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• ${\Lambda }_b\to p{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to {\Lambda }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ form factors from lattice QCD with relativistic heavy quarks
• Calculation of the heavy-hadron axial couplings g_1, g_2, and g_3 using lattice QCD
• Theoretical estimate of the $D^{\ast }\to D\pi$ decay rate
• The masses and axial currents of the doubly charmed baryons
• Precision lattice QCD computation of the $B^{\ast }B\pi$ coupling
• Axial couplings and strong decay widths of heavy hadrons
• The B*Bpi coupling using relativistic heavy quarks
• Mass and axial charge of heavy baryons
• Pion couplings to the scalar B meson
• Density distributions in the $B$ meson
• Chiral Lagrangians for singly heavy baryons to $\mathcal{O}(p^4)$ order
• Matrix elements of $\Delta B=0$ operators in heavy hadron chiral perturbation theory