Charm as a domain wall fermion in quenched lattice QCD
- Physics Department, Columbia University, New York, New York 10027 (United States)
- Institute of Particle and Nuclear Studies, KEK, Ibaraki 305-0801 (Japan)
- Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 (United States)
We report a study describing the charm quark by a domain-wall fermion (DWF) in lattice quantum chromodynamics (QCD). Our study uses a quenched gauge ensemble with the DBW2 rectangle-improved gauge action at a lattice cutoff of a{sup -1}{approx}3 GeV. We calculate masses of heavy-light (charmed) and heavy-heavy (charmonium) mesons with spin-parity J{sup P}=0{sup {+-}} and 1{sup {+-}}, leptonic decay constants of the charmed pseudoscalar mesons (D and D{sub s}), and the D{sup 0}-D{sup 0} mixing parameter. The charm quark mass is found to be m{sub c}{sup MS}(m{sub c})=1.24(1){sub stat}(18){sub syst} GeV. The mass splittings in charmed-meson parity partners {delta}{sub q,J=0} and {delta}{sub q,J=1} are degenerate within statistical errors, in accordance with experiment, and they satisfy a relation {delta}{sub q=ud,J}>{delta}{sub q=s,J}, also consistent with experiment. Using our lattice calculation of the splitting between h{sub c} and {chi}{sub c1} and the experimental {chi}{sub c1} mass, we obtain a parity-odd axial-vector charmonium state m{sub h{sub c}}=3533(11){sub stat}(336){sub syst} MeV, with a systematic error dominated by heavy quark discretization at order (am{sub c}){sup 2}. However, in this regard, we emphasize significant discrepancies in the calculation of hyperfine splittings on the lattice. The leptonic decay constants of D and D{sub s} mesons are found to be f{sub D}=232(7){sub stat}((+6/-0)){sub chiral}(17){sub syst} MeV and f{sub D{sub s}}/f{sub D}=1.05(2){sub stat}((+0/-2)){sub chiral}(2){sub syst}, where the first error is statistical, the second is systematic due to chiral extrapolation, and the third error is a combination of other known systematics. The D{sup 0}-D{sup 0} mixing bag parameter, which enters the {delta}C=2 transition amplitude, is found to be B{sub D}(2 GeV)=0.845(24){sub stat}((+24/-6)){sub chiral}(105){sub syst}. All the above systematic errors include our estimates of quenching errors.
- OSTI ID:
- 20868116
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 74, Issue 11; Other Information: DOI: 10.1103/PhysRevD.74.114506; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
D mesons and charmonium states in asymmetric nuclear matter at finite temperatures
Charm quark system at the physical point of 2+1 flavor lattice QCD