Calculation of the heavy-hadron axial couplings g_1, g_2, and g_3 using lattice QCD

Abstract

In a recent letter [Phys. Rev. Lett. 108, 172003 (2012), arXiv:1109.2480] we have reported on a lattice QCD calculation of the heavy-hadron axial couplings $g_1$, $g_2$, and $g_3$. These quantities are low-energy constants of heavy-hadron chiral perturbation theory (HH$\chi$PT) and are related to the $B^{\ast }B\pi$, ${\Sigma }_b^{\ast }{\Sigma }_b\pi$, and ${\Sigma }_b^{(\ast )}{\Lambda }_b\pi$ couplings. In the following, we discuss important details of the calculation and give further results. To determine the axial couplings, we explicitly match the matrix elements of the axial current in QCD with the corresponding matrix elements in HH$\chi$PT. We construct the ratios of correlation functions used to calculate the matrix elements in lattice QCD, and study the contributions from excited states. We present the complete numerical results and discuss the data analysis in depth. In particular, we demonstrate the convergence of $SU(4|2)$ HH$\chi$PT for the axial-current matrix elements at pion masses up to about 400 MeV and show the impact of the nonanalytic loop contributions. Finally, we present additional predictions for strong and radiative decay widths of charm and bottom baryons.

42 pages, 20 figures, updated calculation of Xi_b^{*0} width using mass measurement from CMS, published version

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Cited by in corpus (12)

• Charmed bottom baryon spectroscopy from lattice QCD
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• $B_s\to K\ell \nu$ form factors from lattice QCD
• Observation of a new Xi(b) baryon
• Extrapolation and unitarity bounds for the $B\to \pi$ form factor
• Precision lattice QCD computation of the $B^{\ast }B\pi$ coupling
• The masses and axial currents of the doubly charmed baryons
• Neutral B-meson mixing from three-flavor lattice QCD: Determination of the SU(3)-breaking ratio ξ
• Pion couplings to the scalar B meson
• Charmed and light pseudoscalar meson decay constants from HISQ simulations
• Axial couplings of heavy hadrons from domain-wall lattice QCD