Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-09-11
Nucl.Phys.B624:377-404,2002
Physics
High Energy Physics
High Energy Physics - Phenomenology
latex, 31 pages, revised version
Scientific paper
10.1016/S0550-3213(01)00655-1
We estimate the decay width difference $\Delta Gamma_d / \Gamma_d$ 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 $\Delta Gamma_d / \Gamma_d$, 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 $\Delta Gamma_d / \Gamma_d$ 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 $\Delta Gamma_d / \Gamma_d$ 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.
Dighe Amol S.
Hurth Tobias
Kim Chang Sub
Yoshikawa Tadashi
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