中文

$D^0-\overline{D^0}$混合中的色散与非色散CP破坏

高能物理 - 唯象学 2021-03-31 v3 高能物理 - 实验

摘要

D0D0D^0-\overline{D^0}混合中的CP破坏(CPV)用色散与非色散“弱相”ϕfM\phi_f^MϕfΓ\phi_f^\Gamma描述。它们分别参数化源于D0D^0衰变与有色散混合、以及与无吸收混合之间的干涉,对CP共轭强子末态fffˉ\bar f所产生的CPV。这些是 distinct 且可分别测量的效应。对于CP本征态末态,间接CPV仅依赖于ϕfM\phi_f^M(色散CPV),而ϕfΓ\phi_f^\Gamma(非色散CPV)只能以非CP本征态末态探测。对末态依赖相ϕfM\phi_f^MϕfΓ\phi_f^\Gamma的测量确定了内禀色散与非色散混合相ϕ2M\phi_2^Mϕ2Γ\phi_2^\Gamma。后者是色散与非色散混合振幅M12M_{12}Γ12\Gamma_{12}相对于其主导(ΔU=2\Delta U=2)的UU-自旋分量的辐角。由于近似普适性,内禀相可在实验上获取:在SM中,以及在卡比博 favored/双卡比博 suppressed(CF/DCS)衰变中可忽略新CPV相的扩展里,ϕfM,Γ\phi_f^{M,\Gamma}偏离ϕ2M,Γ\phi_2^{M,\Gamma}在CF/DCS衰变D0K±XD^0 \to K^\pm X中可忽略,在CF/DCS衰变D0KS,LXD^0 \to K_{S,L} X中低于10%10\%(直至精确已知的O(ϵK)O(\epsilon_K)修正)。在单卡比博抑制(SCS)衰变中,QCD污染以UU-自旋破缺中的O(ϵ)O(\epsilon)进入且可能显著,但在f=K+Kf=K^+K^-π+π\pi^+\pi^-平均中为O(ϵ2)O(\epsilon^2)。SM估计给出ϕ2M,ϕ2Γ=O(0.2%)\phi_2^M, \phi_2^\Gamma = O(0.2\%)。对当前数据的拟合在2σ2\sigma下允许由新物理引起的约O(10)O(10)倍更大的相。基于朴素外推实验精度的拟合表明,在LHCb第二阶段升级中或可达到对SM中ϕ2M\phi_2^{M}ϕ2Γ\phi_2^{\Gamma}的灵敏度。

关键词

引用

@article{arxiv.2001.07207,
  title  = {Dispersive and Absorptive CP Violation in $D^0- \overline{D^0}$ Mixing},
  author = {Alexander L. Kagan and Luca Silvestrini},
  journal= {arXiv preprint arXiv:2001.07207},
  year   = {2021}
}

备注

28 pages, 3 figures. v2: Modified the discussion of SM estimates for $\phi_2^M$, $\phi_2^\Gamma$ in Section IVB, cf. Eqs 110-118, includes a new upper bound on $\phi_2^\Gamma$; typos corrected in Eqs. 73, 77, 151, 152; added Eqs 155, 156, modified Eq A6, writing clarified in a few places. v3: version to appear in Phys Rev D. Intro shortened, improved Sec. III.B.3, typos in the Appendix corrected