The $η$ transitions of $Υ(4S,5S)$ into $Υ(1S,2S)$ are studied in the rescattering model by considering the final state interactions above the $B\bar B$ threshold. The width of the $η$ transition of $Υ(4S)$ into $Υ(1S)$ is found to be larger than that of the dipion transition, and the ratio of $Γ(Υ(4S)\toΥ(1S)η)$ to $Γ(Υ(4S)\toΥ(1S)π^+π^-)$ is predicted to be $R_4=1.8{-}4.5$, which is about two orders of magnitude larger than the expectation of the conventional hadronic transition theory, and is supported by the new BaBar measurement. The widths of the $η$ transitions of $Υ(5S)$ are found to be sensitive to the coupling constants $g_{Υ(5S)B^{(*)}B^{(*)}}$ due to a large cancelation between contributions from the $B\bar{B}$, $B^*\bar{B}+c.c.$, and $B^*\bar{B}^*$ channels, and only a rough estimate $Γ(Υ(5S)\toΥ(1S,2S)η)=10{-}200$ KeV can be given. The widths of the $η'$ transitions of $Υ(4S,5S)$ are also discussed, and they could be much smaller than that of the corresponding $η$ transitions mainly due to the tiny phase space.
Photon-pion transition form factor: BABAR puzzle is cracked
最近,BABAR合作组公布了(arXiv:0905.4778)光子-π介子跃迁形状因子$F_{πγγ^{\ast}}(Q^{2})$的数据,这与微扰QCD的标准因子分解方法的预测是强烈矛盾的。紧接着,提出了两种机制(A.E. Dorokhov,arXiv:0905.4577; A. V. Radyushkin,arXiv:0906.0323),其在数学上增强了形状因子渐近性,因此提供了对BABAR数据的定性满意描述。然而,巴巴尔效应的物理学原理并没有完全阐明。在目前的工作中,基于对QCD真空的非微扰方法和相当普遍的假设,我们证明了π介子跃迁形状因子存在两个渐近区域。一个具有渐近性$F_{πγ^{\ast}γ}(Q^{2})\sim1/Q^{2}$的区域对应于标准QCD因子分解方法的结果,而另一个区域违反标准因子分解并导致渐近行为为$F_{πγ^{\ast}γ}(Q^{2})\sim\ln(Q^{2})Q^{2}$。此外,考虑特定的非定域手征夸克模型,我们找到了参数区域,在该区域成功描述了现有的π介子跃迁形状因子的CELLO、CLEO和BABAR数据。
At leading-twist accuracy the form factors for the transitions from a virtual photon to the $η$ or $η'$ can be expanded into a power series of the variable $ω$, being related to the difference of two photon virtualities. The series possess the remarkable feature that only the Gegenbauer coefficients of the meson distribution amplitudes of order $l\leq m$ contribute to the term $\sim ω^m$. Thus, for $ω\to 0$ only the asymptotic meson distribution amplitude contributes, allowing for a test of the mixing of the $η$ and $η'$ decay constants. Employing the Gegenbauer coefficients determined in anal…
A model for the $B^\pm \to π^-π^+π^\pm$ decay amplitude is proposed to study the large CP violation observed at the high mass region of the Dalitz plane. A short distance $ b \to u $ amplitude with the weak phase $γ$ is considered together with the contribution of a hadronic charm loop and a s-wave $D\bar{D}\to ππ$ rescattering. In the model, the $χ_c^0$ appears as a narrow resonant state of the $D\bar D$ system below threshold. It is introduced in an unitary two channel S-matrix model of the coupled $D\bar D$ and $ππ$ channels, where the $χ_c^0$ complex pole in $D\bar D$ channel shows its sig…
Lepton flavor universality can be tested through the ratio of semileptonic $B$ meson decays and leptonic $Υ$ meson decays, with $Υ\equiv Υ(nS)$ ($n=1,2,3$). For the charged-current transitions $b \to cτ\barν_τ$, discrepancies between the experiment and the Standard Model (SM) have been observed in recent years by different flavor facilities such as BABAR, Belle, and LHCb. While for the neutral-current transitions $b \bar{b} \to τ\barτ$, the BABAR experiment reported recently a new measurement of leptonic decay ratio $R_{Υ(3S)} = {\rm BR}(Υ(3S) \to τ^+τ^-)/{\rm BR}(Υ(3S) \to μ^+μ^-)$, showing a…
We present an analysis of the recent measurement of $η'$-meson production by two virtual photons made by BaBar collaboration. It is the first measurement of a transition form factor which is entirely within the kinematic regime of the collinear factorization approach and thus provides a clean test of QCD factorization theorem for distribution amplitudes (DAs). We demonstrate that the data is in agreement with the perturbative QCD. Also, we show that it is sensitive to power corrections to the factorization theorem and to the decay constants. We discuss features of the meson production cross-se…
我们将在Regge方法中探索BaBar难题。在回顾了手征夸克模型在π介子概率密度函数和概率密度函数中的应用后,我们认为这些模型的变体,满足手征反常,实际上可能违反第二寺泽-韦斯特么正性界限,这是基于未经验证的假设振幅的实部。因此,跃迁形状因子不需要在光子虚性的大值处消失。然后,我们表明,实验数据可以适当地解释与不完整的矢量介子的优势,在一个简单的模型与一个国家,以及在更复杂的径向Regge模型,包括无限多个国家。我们还考虑了来自罕见的Z -> pi 0伽马衰变的实验约束,这在我们的方法中是令人满意的。最后,我们指出光子动量不对称参数可能会显着影响数据拟合的精度。
The recoil momentum spectrum from the decay $B^+ \to K^+ +\mathrm{anything}$ has recently been measured by the BaBar collaboration. The spectrum has a peak with invariant mass near the mass of the $X(3872)$ meson. The preliminary measurement by the BaBar collaboration implies that its branching fraction into $J/ψ\, π^+π^-$ is about 4\%. We emphasize that this is the branching fraction for the entire resonance feature from $B^+$-to-$K^+$ transitions, which includes a $D^{*0} \bar D^0$ and $D^0 \bar D^{*0}$ threshold enhancement as well as a possible bound state below the threshold or a virtual …
Measurements of the branching ratios of $B \to D^{(*)}τ\barν/B \to D^{(*)}\ell\barν$ and $B_c\to J/ψ\, τ\barν/B_c\to J/ψ\, \ell\barν$ by the BaBar, Belle and LHCb collaborations consistently point towards an abundance of taus compared to channels with light leptons. However, the ratio $Λ_b \toΛ_c τ\barν/Λ_b \toΛ_c \ell\barν$ shows a relative deficit in taus. In this paper, we critically address whether data still points towards a coherent pattern of deviations, in particular in light of the sum rule relating these decays in a model-independent way. We find that no common new physics explanatio…
b to d d s bar transition and constraints on new physics in B^- decays
从b到d d s的棒跃迁在标准模型中给出了极小的分支比,从而为检验新的物理学提供了一个合适的基础。利用重整化群技术,我们确定了Wilson系数和对b到d d s棒跃迁有贡献的算子的混合。我们考虑了有和没有R宇称的超对称标准模型,以及一个附加中性Z'规范玻色子的模型对这种衰变模式的贡献。使用Belle和BaBar的B^-到pi^- pi^- K^+分支比的上界,我们限制了这些新物理场景的贡献。然后,我们计算了由b到d d s跃迁驱动的二体和三体非轻子B^-介子衰变的分支比,这可能是实验上可以实现的。
The tree-level $b\rightarrow c{\ell}\barν_{\ell}$ based hadronic transitions have been on the focus of much attention since recording significant deviations of the experimental data, on the ratios of the branching fractions in $ τ$ and $ e-μ$ channels of the semileptonic $ B \rightarrow D $ transition, from the SM predictions by BaBar Collaboration in 2012. It can be of great importance to look whether similar discrepancies take place in the semileptonic baryonic $Λ_{b}\rightarrow Λ_{c}{\ell}\barν_{\ell}$ decay channel or not. In this accordance we estimate the decay width as well as the ratio…
Several measurements on $R_D, R_{D^*}$, and $R_{J/ ψ}$ by the BaBar, Belle, and LHCb experiments show significant deviations from their Standard Model (SM) predictions, which illustrate the fact that the concept of lepton flavor universality (LFU) is violated in semileptonic $B$ meson as well as leptonic $Υ(ns)(n=1,2,3)$ decays. Recently BaBar experiment announced that at $1.8σ$ level, $R_Υ(3s)= {\rm Br}(Υ(3s) \to τ\barτ)/{\rm Br}(Υ(3s) \to μ\barμ)$ shows an acceptance with the SM. These fascinating findings point towards the possible implication of new physics in the $b \to c τ\barν$ transiti…
The two photon transition of $\bar{c}c$ quarkonia are studied within a covariant approach based on the consistent truncation scheme of the quantum chromodynamics Dyson-Schwinger equation for the quark propagator and the Bethe--Salpeter equation for the mesons. We find the decay widths of $η_{c}^{} \to γγ$ and $χ_{c0,2}^{} \to γγ$ in good agreement with experimental data. The obtained transition form factor of $η_{c}^{} \to γγ^{\ast}$ for a wide range of space-like photon momentum transfer squared is also in agreement with the experimental findings of the BABAR experiment. As a by-product, the …