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.

arXiv comment42 pages, 20 figures, updated calculation of Xi_b^{*0} width using mass measurement from CMS, published version

References in corpus (58)

• A Method for Simulating Chiral Fermions on the Lattice
• The Chroma Software System for Lattice QCD
• Chiral Fermions from Lattice Boundaries
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Axial symmetries in lattice QCD with Kaplan fermions
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings in QCD
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• First Measurement of Gamma(D*+) and Precision Measurement of m_D*+ - m_D0
• Strong Decays of Charmed Baryons in Heavy Hadron Chiral Perturbation Theory
• Strong decays of charmed baryons
• Radiative $D^{\ast }$ Decay Using Heavy Quark and Chiral Symmetry
• Chiral perturbation theory for hadrons containing a heavy quark: the sequel
• Strong and Radiative Decays of Heavy Flavored Baryons
• Chiral Perturbation Theory for $f_{D_S}/f_D$ and $B_{B_S}/B_B$
• Electromagnetic Interactions in Heavy Hadron Chiral Theory
• A Precision Model Independent Determination of |Vub| from B -> pi e nu
• First Observation of Heavy Baryons Σ_b and Σ_b^*
• Extraction of the D^*Dπcoupling from D^* decays
• Predictions for s-Wave and p-Wave Heavy Baryons from Sum Rules and Constituent Quark Model (I): Strong Interactions
• Heavy Hadron Chiral Perturbation Theory
• Light Quark Spin-Flavor Symmetry for Baryons Containing a Heavy Quark in Large N QCD
• Domain wall fermions with improved gauge actions
• Bottomonium spectrum at order v^6 from domain-wall lattice QCD: precise results for hyperfine splittings
• On the coupling of heavy mesons to pions in QCD
• Chiral Perturbation Theory for SU(3) Breaking in Heavy Meson Systems
• Properties of Baryons Containing a Heavy Quark in the Skyrme Model
• On the computation of hadron-to-hadron transition matrix elements in lattice QCD
• $D^{\ast }$ Radiative Decays and Strong Coupling of Heavy Mesons with Soft Pions in a QCD Relativistic Potential Model
• BB Potentials in Quenched Lattice QCD
• Chiral and Heavy Quark Symmetry Violation in B Decays
• Observation of a Narrow State Decaying into ${\Xi }_c^{+}{\pi }^{-}$
• Charmed Baryon Strong Coupling Constants in a Light-Front Quark Model
• g(B*Bpi)-coupling in the static heavy quark limit
• Determination of B*B pi coupling in unquenched QCD
• Remark on the Theoretical Uncertainty in B^0-\bar{B}^0 Mixing
• Corrections to Chiral Dynamics of Heavy Hadrons: SU(3) Symmetry Breaking, (with some minor corrections)
• g-coupling (g_B*Bpi,g_D*Dpi); A quark model with Dirac equation
• $B^{\ast }B\pi (\gamma )$ couplings and $D^*\rar Dπ(γ) $-decays within a $1/M$-expansion in $full$ QCD
• First results from 2+1-Flavor Domain Wall QCD: Mass Spectrum, Topology Change and Chiral Symmetry with $L_s=8$
• Lattice measurement of the couplings g_infinity and g_Bstar_B_pi
• Excitations of single-beauty hadrons
• Study of the strong ${\Sigma }_c\to {\Lambda }_c\pi$, ${\Sigma }_c^{\ast }\to {\Lambda }_c\pi$ and ${\Xi }_c^{\ast }\to {\Xi }_c\pi$ decays in a nonrelativistic quark model
• Chiral loop corrections to strong decays of positive and negative parity charmed mesons
• Axial couplings and strong decay widths of heavy hadrons
• Remarks on the Strong Coupling Constants in Heavy Hadron Chiral Lagrangians
• Observation of the Xi_b^0 Baryon
• Measurement of the masses and widths of the bottom baryons Sigma_b+- and Sigma_b*+-
• A new approach for Delta form factors
• The continuum limit of the static-light meson spectrum
• Lattice HQET with exponentially improved statistical precision
• Corrections to Chiral Dynamics of Heavy Hadrons: (I) 1/M Correction
• Combined Chiral Dynamics and MIT Bag Model Study of Strong Σ^{(*)}_Q \to Λ_QπDecays
• Couplings of pions with heavy baryons from light-cone QCD sum rules in the leading order of HQET
• Axial couplings in heavy hadron chiral perturbation theory at the next-to-leading order
• Study of the strong ${\Sigma }_b\to {\Lambda }_b\pi$ and ${\Sigma }_b^{\ast }\to {\Lambda }_b\pi$ in a non-relativistic quark model
• Precision study of B^* Bπcoupling for the static heavy-light meson
• The Radiative Charmed Baryon Decay ${\Xi }_{c2}^{0\ast }\to {\Xi }_{c1}^0\gamma$
• Determination of the strong coupling $g_{B^{\ast }B\pi }$ from semi-leptonic $B\to \pi \ell \nu$ decay

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• Isospin violating decay $D_s^{\ast }\to D_s{\pi }^0$ in chiral perturbation theory
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• Molecular interpretation of the LHCb pentaquarks from an analysis of $J/\psi p$ spectrum
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings from Dyson-Schwinger equations framework
• Matrix elements of $\Delta B=0$ operators in heavy hadron chiral perturbation theory
• Axial couplings of heavy hadrons from domain-wall lattice QCD