Effects of the fourth generation on $\Delta M_{B_{d,s}}$ in $B^0$–$\bar B^0$ mixing

W.-J. Huo

doi:doi:10.1007/s100520200933

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2023 Impact factor 4.2

Particles and Fields

Eur. Phys. J. C 24, 275-280 (2002)
DOI: 10.1007/s100520200933

Effects of the fourth generation on $\Delta M_{B_{d,s}}$ in B⁰- $\bar B^0$ mixing

W.-J. Huo^{1, 2}

¹ CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, P.R. China
² Institute of High Energy Physics, Academia Sinica, P.O. Box 918(4), Beijing 100039, P.R. China

(Received: 30 November 2001 / Published online: 26 April 2002 - © Springer-Verlag / Società Italiana di Fisica 2002 )

Abstract
We investigate the mass differences $\Delta M_{B_{d,s}}$ in B⁰_d,s- $\bar B^0_{d,s}$ mixing 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 for $\Delta M_{B_{s}}$ as a function of $m_{t^{\prime}}$ . We find that one of our results can satisfy the present experimental lower bound of $\Delta M_{B_{s}}$ . We also get the constraints of the fourth generation CKM factor V^*_t'bV_t'd, as a function of t', from the experimental measurements of $\Delta M_{B_d}$ . Thus, $\Delta M_{B_{d,s}}$ provides a possible test of the fourth generation and may give a signal of new physics.