[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 04:00:00 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), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 48:7; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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