Effects of the Fourth Generation on $ΔM_{B_{d,s}}$ in $B^0-\bar B^0$ Mixing

Details Effects of the Fourth Generation on $ΔM_{B_{d,s}}$ in $B^0-\bar B^0$ Mixing Effects of the Fourth Generation on $ΔM_{B_{d,s}}$ in $B^0-\bar B^0$ Mixing

2000-06-12

arxiv.org/abs/hep-ph/0006110v4

Eur.Phys.J.C24:275-280,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 5 figures. accepted by Europ. Phys. Jour. C

Scientific paper

10.1007/s100520200933

We investigate the mass differences $\Delta M_{B_{d,s}}$ in the mixing $B^0_{d,s}-\bar B^0_{d,s}$ with a new up-like quark $t^{\prime}$ in the sequential fourth generation model. We give the basic formulae for $\Delta M_{B_{d,s}}$ in this model and obtain two kinds of numerical results of $\Delta M_{B_{s}}$ which is the function of $m_{t^{\prime}}$. We find that one of our results can satisfy the present experimental low bound of $\Delta M_{B_s}$. We also get the constraints of the fourth generation CKM factor $V^{*}_{t^{'}b}V_{t^{'}d}$, which is the function of $t^{'}$, from the experimental measurements of $\Delta M_{B_d}$. Thus, $\Delta M_{B_{d,s}}$ provide a possible test of the fourth generation and give a signal of the new physics.

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