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arXiv hep-ph/0502139hep-ph
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同位旋断裂对B中提取的α的影响--> pi pi,rho rho,rho pi

Isospin-breaking effects on alpha extracted in B --> pi pi, rho rho, rho pi

M. Gronau, J. Zupan

摘要:

用味SU(3)方法研究了由π ^0-eta-eta'混合引起的B -> pi pi中的同位旋破缺. B^+ --> pi^+ pi ^0、B^+ --> pi^+ eta^(')和B ^0--> pi ^0 eta^(')的测量分支比意味着α的不确定性小于1.4度。我们发现π ^0-eta-eta'混合对B --> ρ π中α的影响可以忽略不计。我们用2 π不变质量关系来描述B --> ρ ρ和B --> ρ π中ρ ^0-ω混合的效应,指出了一种在实验上限制或完全消除这种效应的方法。我们发现,在B --> pi pi和B --> rho rho中,由电弱企鹅振幅引起的α的模型无关位移Δ alpha_{EWP} =1.5+- 0.3度,在B --> rho pi中可能略有不同。在这些过程中的其他来源的同位旋断裂进行了简要讨论。

英文摘要:

Isospin-breaking in B --> pi pi caused by pi^0-eta-eta' mixing is studied in a model-independent way using flavor SU(3). Measured branching ratios for B^+ --> pi^+ pi^0, B^+ --> pi^+ eta^(') and B^0 --> pi^0 eta^(') imply an uncertainty in alpha smaller than 1.4 degree. We find a negligible effect of pi^0-eta-eta' mixing on alpha in B --> rho pi. Characterizing the effect of rho^0-omega mixing in B --> rho rho and in B --> rho pi by the two-pion invariant mass dependence, we point out a way of constraining this effect experimentally or eliminating it altogether. We show that a model-independent shift in alpha caused by electroweak penguin amplitudes in B --> pi pi and B --> rho rho, Δalpha_{EWP}=1.5+- 0.3 degree, may be slightly different in B --> rho pi. Other sources of isospin-breaking in these processes are briefly discussed.

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