[ital B][sub [ital d]][sup 0]-[ital [bar B]][sub [ital d]][sup 0] mixing and the prediction of the top-quark mass in an independent particle potential model

Journal Article · Fri Oct 01 00:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.48.3271· OSTI ID:6277408

Barik, N ^[1]; Das, P; Panda, A R; Roy, K C ^[2]

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1. Physics Department, Utkal University, Bhubaneswar-751004 (India)
2. Physics Department, Kendrapara College, Kendrapara-754211 (India)

Considering [ital B][sub [ital d]][sup 0]-[ital [bar B]] [sub [ital d]][sup 0] mixing in a potential model of independent quarks by taking the effective interaction Hamiltonian of the standard Salam-Weinberg-Glashow model and subsequently diagonalizing the corresponding mass matrix with respect to [ital B][sub [ital d]][sup 0] and [ital [bar B]][sub [ital d]][sup 0] states, we obtain an expression for the mass difference [Delta][ital M][sub [ital B][ital d]][sup 0] in terms of the [ital t]-quark mass [ital m][sub [ital t]]. Using the recent observation of the mixing parameter [ital x][sub [ital d]]=0.72[plus minus]0.15 by the ARGUS Collaboration, we predict the lower bound on the top-quark mass as [ital m][sub [ital t]][ge]149 GeV. Further, a consideration of experimental mass difference [Delta][ital M][sub [ital B][ital d]][sup 0]=(4.0[plus minus]0.8)[times]10[sup [minus]13] GeV also leads to [ital m][sub [ital t]]=167[sub [minus]17][sup +16] GeV which is in agreement with the recent experimental bound as well as other theoretical predictions. However, such a prediction of [ital m][sub [ital t]] that utilizes the experimental value of the CKM matrix element [vert bar][ital V][sub [ital t][ital d]][vert bar] may not appear convincing in view of the large uncertainties in the measurement of [vert bar][ital V][sub [ital t][ital d]][vert bar] so far reported. Therefore using the range of [ital m][sub [ital t]] values within its bounds predicted from other independent works, we make a reasonable estimation of [vert bar][ital V][sub [ital t][ital d]][vert bar].

• OSTI ID: 6277408
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 48:7; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI-B NEUTRAL MESONS
MIXING
B NEUTRAL MESONS
TOPS
MASS
MASS DIFFERENCE
POTENTIALS
STANDARD MODEL
B MESONS
BEAUTY PARTICLES
BOSONS
ELEMENTARY PARTICLES
HADRONS
MATHEMATICAL MODELS
MESONS
ORGANIC COMPOUNDS
ORGANIC PHOSPHORUS COMPOUNDS
ORGANIC SULFUR COMPOUNDS
PARTICLE MODELS
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS
UNIFIED GAUGE MODELS
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