The measured mixing frequencies are and

PHYSICS · Subjective · Fermi University Physics · Particle Physics & Quantum Fields · Flavour, neutrinos and CP violation · Flavour, neutrinos and CP violation

Symmetry and Flavour, Ch B mesons: mixing, time-dependent CP asymmetries and the unitarity triangle

Problem

The measured mixing frequencies are

\Delta m_d = 0.5069\,\mathrm{ps^{-1}}

and

\Delta m_s = 17.765\,\mathrm{ps^{-1}}

, and the meson masses are

m_{B_d} = 5.280\,\mathrm{GeV}

and

m_{B_s} = 5.367\,\mathrm{GeV}

. The lattice ratio of hadronic factors is

\xi = f_{B_s}\sqrt{B_{B_s}}/f_{B_d}\sqrt{B_{B_d}} = 1.21

(FLAG). Calculate

|V_{td}/V_{ts}|

from

|V_{td}/V_{ts}| = \xi\sqrt{\left(\frac{\Delta m_d}{\Delta m_s}\right)\left(\frac{m_{B_s}}{m_{B_d}}\right)}.

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