CP-violating Parameter ε_B in B_d^0-\bar{B}^0_d Mixing

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We make an analysis of the phase-convention dependence of the CP-violating parameter ε_B and give some comments on the reported CLEO and OPAL constraints on Reε_B. It is emphasized that ε_B has little advantage for the study of CP violation in the B^0_d-\bar{B}^0_d system.
Latex 7 pages. Previous version is substantially changed

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