CP asymmetry Relations Between $\bar B^0\rightarrow ππ$ and $\bar B^0\rightarrow πK$ Rates
| dc.creator | Deshpande, N. G. | |
| dc.creator | He, Xiao-Gang | |
| dc.date | 1994-12-30 | |
| dc.date.accessioned | 2026-07-07T10:35:08Z | |
| dc.date.available | 2026-07-07T10:35:08Z | |
| dc.description | We prove that CP violating rate difference $Δ(\bar B^0 \rightarrow π^+π^-) = Γ(\bar B^0 \rightarrow π^+π^-) - Γ( B^0 \rightarrow π^-π^+)$ is related to $Δ(\bar B^0 \rightarrow π^+ K^-) = Γ(\bar B^0 \rightarrow π^+K^-) - Γ(B^0 \rightarrow π^-K^+)$ in the three generation Standard Model. Neglecting small annihilation diagrams, and in the SU(3) symmetry limit, we show $Δ(\bar B^0 \rightarrow π^+π^-) = - Δ(\bar B^0 \rightarrow π^+ K^-)$. The SU(3) breaking effects are estimated using factorization approximation, and yield $Δ(\bar B^0\rightarrow π^+π^-) \approx -(f_π/f_K)^2Δ(\bar B^0 \rightarrow π^+K^-)$. Usefulness of this remarkable relation for determining phases in the CKM unitarity triangle is discussed. | |
| dc.description | 9 pages, Revtex | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9412393 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9412393 | |
| dc.identifier | Phys.Rev.Lett.75:1703-1706,1995 | |
| dc.identifier | doi:10.1103/PhysRevLett.75.1703 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/179663 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | CP asymmetry Relations Between $\bar B^0\rightarrow ππ$ and $\bar B^0\rightarrow πK$ Rates | |
| dc.type | text |