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

Journal Article · Tue Nov 01 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.094502· OSTI ID:21608039

Detmold, William ^[1]; Lin, C.-J. David ^[2]; Meinel, Stefan ^[1]

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1. Department of Physics, College of William and Mary, Williamsburg, Virginia 23187-8795 (United States)
2. Institute of Physics, National Chiao-Tung University, Ta-Hsueh Road, Hsinchu 300, Taiwan (China)

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 flavors 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 analyze 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.

• OSTI ID: 21608039
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 84; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
AMPLITUDES
AXIAL-VECTOR CURRENTS
BARYONS
BOSONS
CHIRALITY
COMPOSITE MODELS
COMPUTERIZED SIMULATION
CONSTRUCTIVE FIELD THEORY
COUPLING
CURRENTS
DECAY AMPLITUDES
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FLAVOR MODEL
FUNCTIONS
GOLDSTONE BOSONS
HADRONS
LAGRANGIAN FUNCTION
LATTICE FIELD THEORY
LIE GROUPS
MASS
MATHEMATICAL MODELS
MATRIX ELEMENTS
MESONS
PARTICLE MODELS
PARTICLE PROPERTIES
PERTURBATION THEORY
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SIMULATION
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SU-4 GROUPS
SU-6 GROUPS
SYMMETRY GROUPS
TRANSITION AMPLITUDES