A 1993 Look at the Lower Bound on the Top Quark Mass from CP Violation

preprint1993arXivOpen access

Abstract

We point out that the lower bound on mtm_t from the CP violation parameter εKε_K has increased considerably. Using Wolfenstein parametrization of the CKM matrix we derive an analytic expression for this bound as a function of ∣Vcb∣,∣Vub/Vcb∣\mid V_{cb}\mid, \mid V_{ub}/V_{cb}\mid and the non-perturbative parameter BKB_K. For BK≤0.80,∣Vcb∣≤0.040B_K\leq 0.80,\mid V_{cb} \mid\leq 0.040 and ∣Vub/Vcb∣≤0.10\mid V_{ub}/V_{cb}\mid\leq 0.10 we find mt>130GeVm_t > 130 GeV. However, for BK≤0.70,∣Vcb∣≤0.038B_K \leq 0.70, \mid V_{cb}\mid \leq 0.038 and ∣Vub/Vcb∣≤0.08\mid V_{ub}/V_{cb}\mid \leq 0.08 the bound is raised to mt>205 GeVm_t > 205~GeV. The lower bound on mtm_t from Bo−BˉoB^o-\bar B^o mixing is also reconsidered.

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