### Abstract

In a recent letter 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 (HHχPT) and are related to the B ^{*}Bπ, Σb*Σ _{b}π, and Σb(*) Λ _{b}π 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 HHχPT. 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) HHχPT for the axial-current matrix elements at pion masses up to about 400MeV 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.

Original language | English (US) |
---|---|

Article number | 114508 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 85 |

Issue number | 11 |

DOIs | |

State | Published - Jun 18 2012 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

_{1}, g

_{2}, and g

_{3}using lattice QCD.

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*85*(11), [114508]. https://doi.org/10.1103/PhysRevD.85.114508

**Calculation of the heavy-hadron axial couplings g _{1}, g _{2}, and g _{3} using lattice QCD.** / Detmold, William; Lin, C. J David; Meinel, Stefan.

Research output: Contribution to journal › Article

_{1}, g

_{2}, and g

_{3}using lattice QCD',

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 85, no. 11, 114508. https://doi.org/10.1103/PhysRevD.85.114508

_{1}, g

_{2}, and g

_{3}using lattice QCD. Physical Review D - Particles, Fields, Gravitation and Cosmology. 2012 Jun 18;85(11). 114508. https://doi.org/10.1103/PhysRevD.85.114508

}

TY - JOUR

T1 - Calculation of the heavy-hadron axial couplings g 1, g 2, and g 3 using lattice QCD

AU - Detmold, William

AU - Lin, C. J David

AU - Meinel, Stefan

PY - 2012/6/18

Y1 - 2012/6/18

N2 - In a recent letter 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 (HHχPT) and are related to the B *Bπ, Σb*Σ bπ, and Σb(*) Λ bπ 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 HHχPT. 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) HHχPT for the axial-current matrix elements at pion masses up to about 400MeV 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.

AB - In a recent letter 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 (HHχPT) and are related to the B *Bπ, Σb*Σ bπ, and Σb(*) Λ bπ 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 HHχPT. 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) HHχPT for the axial-current matrix elements at pion masses up to about 400MeV 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.

UR - http://www.scopus.com/inward/record.url?scp=84862746513&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84862746513&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.85.114508

DO - 10.1103/PhysRevD.85.114508

M3 - Article

VL - 85

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 11

M1 - 114508

ER -