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    Constraint on the branching ratio of B_c \to tau nu from LEP1 and consequences for R(D(*)) anomaly

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    Recently there has been interest in the correlation between R(D*) and the branching ratio (BR) of Bc→τνB_c \to \tau \nu in models with a charged scalar H^\pm. Any enhancement of R(D*) by H±H^\pm alone (in order to agree with current data) also enhances BR(Bc→τνBR(B_c \to \tau \nu), for which there has been no direct search at hadron colliders. We show that LEP data taken at the Z peak requires BR(Bc→τνB_c \to \tau \nu) < 10%, and this constraint is significantly stronger than the recent constraint BR(Bc→τνB_c \to \tau \nu) < 30% from considering the lifetime of B_c. In order to respect this new constraint, any explanation of the R(D) and R(D*) anomaly in terms of H±H^\pm alone would require the future measurements of R(D*) to be even closer to the Standard Model prediction. A stronger limit on BR(Bc→τνB_c \to \tau \nu) (or its first measurement) would be obtained if the L3 collaboration used all its data taken at the Z peak.Comment: 14 pages, 4 figures, a reference and two sentences adde

    Geometrical interpretation and graphical solution to minimum energy discrete-data control Scientific report no. 9

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    Linear PAM regulator minimum energy design by geometric interpretation and graphical solutio
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