Measurement of the Lifetime Difference of $B_d$ Mesons: Possible and Worthwhile?

Abstract

We estimate the decay width difference $\Delta Gamm{a}_d/{\Gamma }_d$ in the $B_d$ system including $1/m_b$ contributions and next-to-leading order QCD corrections, and find it to be around 0.3%. We explicitly show that the time measurements of an untagged $B_d$ decaying to a single final state isotropically can only be sensitive to quadratic terms in $\Delta Gamm{a}_d/{\Gamma }_d$, and hence the use of at least two different final states is desired. We discuss such pairs of candidate decay channels for the final states and explore the feasibility of a $\Delta Gamm{a}_d/{\Gamma }_d$ measurement through them. The measurement of this width difference is essential for an accurate measurement of $\sin (2\beta )$ at the LHC. The nonzero width difference may also be used to identify new physics effects and to resolve a twofold discrete ambiguity in the $B_d$-${\bar{B}}_d$ mixing phase. We also derive an upper bound on the value of $\Delta Gamm{a}_d/{\Gamma }_d$ in the presence of new physics, and point out some differences in the phenomenology of width differences in the $B_s$ and $B_d$ systems.

latex, 31 pages, revised version

References in corpus (6)

• Observation of CP violation in the B^0 meson system
• Measurement of CP-violating asymmetries in B0 decays to CP eigenstates
• Measurement of the CP Violation Parameter sin(2phi_1) in B^0_d Meson Decays
• Lifetime difference of $B_s$ mesons - Theory status
• CP Asymmetries in $b\to (s/d)$ Transitions as a Test of CKM CP Violation
• Present and Future CP Measurements

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