N. Barik et al., B(D)(0)-(B)OVER-BAR(D)(0) MIXING AND THE PREDICTION OF THE TOP-QUARK MASS IN AN INDEPENDENT-PARTICLE POTENTIAL MODEL, Physical review. D. Particles and fields, 48(7), 1993, pp. 3271-3276
Considering B(d)0-B(d)0BAR 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 corre
sponding mass matrix with respect to B(d)0 and B(d)0BAR states, we obt
ain an expression for the mass difference DELTAM(Bd0) in terms of the
t-quark mass m(t). Using the recent observation of the mixing paramete
r X(d)=0.72+/-0.15 by the ARGUS Collaboration, we predict the lower bo
und on the top-quark mass as m(t) greater-than-or-equal-to 149 GeV. Fu
rther, a consideration of experimental mass difference DELTAM(Bd0)=(4.
0+/-0.8) X 10(-13) GeV also leads to m(t)=167(-17)+16 GeV which is in
agreement with the recent experimental bound as well as other theoreti
cal predictions. However, such a prediction of m(t) that utilizes the
experimental value of the CKM matrix element \V(td)\ may not appear co
nvincing in view of the large uncertainties in the measurement of \V(t
d)\ so far reported. Therefore using the range of m(t) values within i
ts bounds predicted from other independent works, we make a reasonable
estimation of \V(td)\.