Light-front quark model analysis of the exclusive rare B{sub c{yields}}D{sub (s)}(l{sup +}l{sup -},{nu}{sub l{nu}l}) decays

Journal Article · Mon Mar 01 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.054003· OSTI ID:21409837

Choi, Ho-Meoyng ^[1]

---

1. Department of Physics, Teachers College, Kyungpook National University, Daegu 702-701 (Korea, Republic of)

We investigate the exclusive rare B{sub c{yields}}D{sub (s){nu}l{nu}l} and B{yields}D{sub (s)}l{sup +}l{sup -} (l=e, {mu}, {tau}) decays within the standard model and the light-front quark model constrained by the variational principle for the QCD-motivated effective Hamiltonian. The form factors f{sub {+-}}(q{sup 2}) and f{sub T}(q{sup 2}) are obtained from the analytic continuation method in the q{sup +}=0 frame. While the form factors f{sub +}(q{sup 2}) and f{sub T}(q{sup 2}) are free from the zero mode, the form factor f{sub -}(q{sup 2}) is not free from the zero mode in the q{sup +}=0 frame. We discuss the covariance (i.e. frame independence) of our model calculation and quantify the zero-mode contributions to f{sub -}(q{sup 2}) for B{sub c{yields}}D{sub (s)} decays. The branching ratios and the longitudinal lepton polarization asymmetries are calculated with and without the long-distance contributions. Our numerical results for the nonresonant branching ratios for and B{sub c{yields}}D(D{sub s})l{sup +}l{sup -} are in the order of 10{sup -8} (10{sup -7}) and 10{sup -9} (10{sup -8}), respectively. The averaged values of the lepton polarization asymmetries obtained from the linear (harmonic oscillator) potential parameters are found to be -0.99 (-0.99) for B{sub c{yields}}D{mu}{sup +{mu}-} and -0.16 (-0.15) for B{sub c{yields}}D{tau}{sup +{tau}-}, and -0.98 (-0.98) for B{sub c{yields}}D{sub s{mu}}{sup +{mu}-} and -0.14 (-0.12) for B{sub c{yields}}D{sub s{tau}}{sup +{tau}-}, respectively.

• OSTI ID: 21409837
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 5; Other Information: DOI: 10.1103/PhysRevD.81.054003; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMMETRY
B C MESONS
BRANCHING RATIO
D S MESONS
ELECTRON NEUTRINOS
FORM FACTORS
HAMILTONIANS
HARMONIC OSCILLATORS
MUON NEUTRINOS
MUONS MINUS
PARTICLE DECAY
POLARIZATION
QUANTUM CHROMODYNAMICS
QUARK MODEL
STANDARD MODEL
TAU NEUTRINOS
VARIATIONAL METHODS
BEAUTY MESONS
BEAUTY PARTICLES
BOSONS
CALCULATION METHODS
CHARM PARTICLES
CHARMED MESONS
COMPOSITE MODELS
DECAY
DIMENSIONLESS NUMBERS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GRAND UNIFIED THEORY
HADRONS
HEAVY LEPTONS
LEPTONS
MASSLESS PARTICLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MESONS
MUONS
NEUTRINOS
PARTICLE MODELS
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
STRANGE MESONS
STRANGE PARTICLES
UNIFIED GAUGE MODELS