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

References in corpus (12)

• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Strong Decays of Charmed Baryons in Heavy Hadron Chiral Perturbation Theory
• Strong decays of charmed baryons
• Bottomonium spectrum at order v^6 from domain-wall lattice QCD: precise results for hyperfine splittings
• BB Potentials in Quenched Lattice QCD
• Determination of B*B pi coupling in unquenched QCD
• First results from 2+1-Flavor Domain Wall QCD: Mass Spectrum, Topology Change and Chiral Symmetry with $L_s=8$
• Excitations of single-beauty hadrons
• Chiral loop corrections to strong decays of positive and negative parity charmed mesons
• Combined Chiral Dynamics and MIT Bag Model Study of Strong Σ^{(*)}_Q \to Λ_QπDecays
• Precision study of B^* Bπcoupling for the static heavy-light meson
• Determination of the strong coupling $g_{B^{\ast }B\pi }$ from semi-leptonic $B\to \pi \ell \nu$ decay

Cited by in corpus (38)

• Charmed bottom baryon spectroscopy from lattice QCD
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• $B_s\to K\ell \nu$ form factors from lattice QCD
• Revisiting the nature of the $P_c$ pentaquarks
• Observation of a new Xi(b) baryon
• Semileptonic form factors for $B\to D^{\ast }\ell \nu$ at nonzero recoil from 2 + 1-flavor lattice QCD
• Extrapolation and unitarity bounds for the $B\to \pi$ form factor
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• The masses and axial currents of the doubly charmed baryons
• Precision lattice QCD computation of the $B^{\ast }B\pi$ coupling
• Form factors of $B\to \pi \ell \nu$ and a determination of $|V_{ub}|$ with Möbius domain-wall-fermions
• $D^{(\ast )}N$ interaction and the structure of ${\Sigma }_c(2800)$ and ${\Lambda }_c(2940)$ in chiral effective field theory
• Neutral B-meson mixing from three-flavor lattice QCD: Determination of the SU(3)-breaking ratio ξ
• Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
• Spectrum of the doubly charmed molecular pentaquarks in chiral effective field theory
• Spectrum of nonstrange singly charmed baryons in the constituent quark model
• $B\to D^{\ast }\ell {\nu }_{\ell }$ semileptonic form factors from lattice QCD with Möbius domain-wall quarks
• The $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings from light-cone sum rules
• D-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD
• The prospect of charm quark magnetic moment determination
• Deciphering the charged heavy quarkoniumlike states in chiral effective field theory
• ${\Sigma }_{c}N$ interaction in chiral perturbation theory
• Triply charmed dibaryons in the one boson exchange model
• The history of LHCb
• Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$
• Pion couplings to the scalar B meson
• Isospin violating decay $D_s^{\ast }\to D_s{\pi }^0$ in chiral perturbation theory
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Observation of the ${\Xi }_{\mathrm{b}}^{-}$ $\to$ $\psi$(2S)${\Xi }^{-}$ decay and studies of the ${\Xi }_{\mathrm{b}}$(5945)${}^0$ baryon in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Charmed and light pseudoscalar meson decay constants from HISQ simulations
• Heavy-meson chiral Lagrangians, effective flavored couplings, SU(4) flavor breaking and their consequences
• Molecular interpretation of the LHCb pentaquarks from an analysis of $J/\psi p$ spectrum
• Axial couplings of heavy hadrons from domain-wall lattice QCD
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings from Dyson-Schwinger equations framework