The PDG 2024 values for the neutral system are and

PHYSICS · Multi-part · 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 PDG 2024 values for the neutral B0B^0 system are Δmd=0.5069 ps−1\Delta m_d = 0.5069\,\mathrm{ps^{-1}} and τB0=1.517 ps\tau_{B^0} = 1.517\,\mathrm{ps}, with ΔΓd≈0\Delta\Gamma_d \approx 0. ((a)) Calculate the dimensionless mixing parameter xd=Δmd τB0x_d = \Delta m_d\,\tau_{B^0}. ((b)) Calculate the time-integrated mixing probability χd=xd22(1+xd2)\chi_d = \dfrac{x_d^2}{2(1+x_d^2)}.

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