In this paper we make a systematic study of the semileptonic decays $B/B_s \to (η,\etar, G)(l^+l^-,l\barν,ν\barν)$ by employing the perturbative QCD (pQCD) factorization approach. The next-to-leading-order (NLO) contributions to the relevant form factors are included, and the ordinary $η$-$\etar$ mixing scheme and the $η$-$\etar$-$G$ mixing scheme are considered separately, where $G$ denotes a pseudoscalar glueball. The numerical results and the phenomenological analysis indicate that (a) the NLO contributions to the relevant form factors provide 25% enhancement to the leading-order pQCD predictions for the branching ratios $Br(B^-\to η^{(')} l^-\barν_l)$, leading to a good agreement between the predictions and the data; (b) for all considered decays, the pQCD results are basically consistent with those from other different theoretical models; (c) the pQCD predictions in the two considered mixing schemes agree well with each other within theoretical errors. The outcomes presented here can be tested by LHCb and forthcoming Super-$B$ experiments.
Anatomy of $B \to K η^{(\prime)}$ decays in different mixing schemes and effects of next-to-leading order contributions in the perturbative QCD approach
在本文中,我们进行了全面的研究的四个$B \to K \etap$衰变的pQCD因式分解方法。我们计算了$B \to K\etap$衰变在普通$η$-$\etar$、$η$-$\etar$- $G$和$η$-$\etar$- $G$ - $η_c$混合方案中的CP平均分支比和CP破坏不对称性。在pQCD方法中,除了全部LO贡献外,还考虑了所有目前已知的非LO对$B \to K \etap$衰变的贡献。从我们的计算和现象学分析,我们发现以下几点。(a)NLO的贡献一般可以提供显着的增强LO pQCD预测的两个$B \to K \etar$衰变的衰变率,周围的$70%-89%$的幅度,但导致相对较小的变化$Br(B \to K η)$。(b)虽然在所有三种考虑的混合方案中的NLO pQCD预测与数据在一个标准差内吻合良好,但$η$ - $\etar$ - $G$混合方案中的pQCD预测为$Br(B \to K \etap)$的测量模式提供了最好的解释:$Br(B^0 \to K^0 η) \approx 1.13\times 10^{-6}$,$Br(B^0 \to K^0 \etar) \approx 66.5 \times 10^{-6}$,$Br(B^\pm \to K^\pm η) \approx 2.36\times 10^{-6}$和$Br(B^\pm \to K^\pm …
In this paper, we will make systematic calculations for the branching ratios and the CP-violating asymmetries of the twenty one $\bar{B}^0_s \to PV $ decays by employing the perturbative QCD (PQCD) factorization approach. Besides the full leading-order (LO) contributions, all currently known next-to-leading order (NLO) contributions are taken into account. We found numerically that: (a) the NLO contributions can provide $\sim 40\%$ enhancement to the LO PQCD predictions for ${\cal B}(\bar{B}_s^0 \to K^0 \bar{K}^{*0})$ and $ {\cal B}(\bar{B}_s^0 \to K^{\pm}K^{*\mp})$, or a $\sim 37\% $ reductio…
In this paper we calculate first order radiative QCD corrections to the decay process $b\to cW^-(\to\ell^-\barν_\ell)$ of a polarized bottom quark. Taking into account both the bottom and charm quark masses, the analytical expressions given in this paper allow for a detailed analysis of the differential decay rate of the polarized quark in dependence on the polar and azimuthal angles of the lepton pair and the angle of the polarization vector of the quark relative to the momentum direction of the $W$ boson. The results are given for different polarization states of the charged lepton. In addit…
We present a new method aiming at a non-perturbative, model-independent determination of the momentum dependence of the form factors entering semileptonic decays using unitarity and analyticity constraints. We extend the original proposal and, using suitable two-point functions computed non-perturbatively, we determine the form factors at low-momentum transfer $q^2$ from those computed explicitly on the lattice at large $q^2$, without making any assumption about their $q^2$ dependence. As a training ground we apply the new method to the analysis of the lattice data of the semileptonic $D \righ…
Global fits to moments of kinematic distributions measured in inclusive semileptonic $B\rightarrow X_c l ν_l$ enable the determination of the Cabibbo-Kobayashi-Maskawa matrix element $|V_{cb}|$ together with non-perturbative matrix elements of the heavy quark expansion. In current fits, only two distinct kinematic distributions are employed and, as a consequence, higher moments of these distributions need to be taken into account to extract the relevant non-perturbative matrix elements. The moments of a given distribution are highly correlated and experimental uncertainties increase for higher…
Constraints on Higher-Order Perturbative Corrections in $b\to u$ Semileptonic Decays from Residual Renormalization-Scale Dependence
约束的逐步减少的剩余重整化尺度的依赖性增加循环顺序的方法获得的边界未知的高阶微扰校正重整化群不变量。这种技术适用于包容性的半轻子过程$b\to u \barν_\ell\ell^-$(明确已知的两个循环的顺序),以获得上的三个和四个循环的微扰系数,是无法通过重整化群访问的界限。利用最小灵敏度原理,得到了微扰对$Γ(b\to u \barν_\ell\ell^-)$的贡献的估计,该估计包含了来自尚未确定的高阶QCD修正的理论不确定性.
We compute the non-perturbative contribution of semileptonic tensor operators $(\bar q σ^{μν} q)(\bar \ell σ_{μν} \ell)$ to the purely leptonic process $μ\to e γ$ and to the electric and magnetic dipole moments of charged leptons by matching onto chiral perturbation theory at low energies. This matching procedure has been used extensively to study semileptonic and leptonic weak decays of hadrons. In this paper, we apply it to observables that contain no strongly interacting external particles. The non-perturbative contribution to $μ\to e $ processes is used to extract the best current bound on…
Semileptonic decays of $B_c$ meson to S-wave charmonium states in the perturbative QCD approach
受最近在LHCb探测器上测量的$B_c$分支分数与$J/ψπ^+$和$J/ψμ^+ν_μ$末态的比值的启发,我们用微扰QCD方法研究了$B_c$介子到S波基态和径向激发的2S和3S粲偶素态的半轻子衰变.在评估了跃迁$B_c\rightarrow P,V$的形状因子后,我们计算了所有这些半轻子衰变的分支比,其中$P$和$V$分别表示赝标量和矢量S波charmonia。利用$B_c$介子的光锥波函数降低了强子输入参数的理论不确定性。发现预测的分支比范围从$10^{-6}$到$10^{-2}$,并且可以通过未来的LHCb实验来测量。我们预测的分支分数比$\frac{\mathcal {BR}(B_c^+\rightarrow J/Ψπ^+)}{\mathcal {BR}(B_c^+\rightarrow J/Ψμ^+ν_μ)}$是在良好的协议与数据。对于$B_c\rightarrow V l ν_l$衰变,在不同的动量转移平方区域讨论了纵、横极化的相对贡献。这些预测将在正在进行和即将进行的实验中得到检验。
$B \to K \etap$ decays in the SM with fourth generation fermions
利用微扰QCD(pQCD)因子分解方法,计算了含有第四代费米子(SM 4)的标准模型(SM)中由包含$\tp$夸克的圈图引起的四个$B \to K \etap$衰变的新物理贡献.在所考虑的SM 4参数空间内,我们发现:(a)SM和SM 4的次领先阶(next-to-leading分支比,NLO)pQCD预言与实验数据在一个标准差内基本一致;(b)对于$Br(B \to K η)$,第四代贡献的加入可以有效地改善理论预言与实验数据的一致性;(c)对于$Br(B \to K \etar)$,由于$\tp$环引起的衰减与数据不符;(d)对所考虑衰变的CP破坏不对称性的新物理修正仅为10%左右。
Probing Intrinsic Charm with Semileptonic B Decays
本文讨论了B -> J/Psi e nu X形式的半轻子B衰变作为内禀魅力的可能探针。我们计算了过程B- -> J/Psie-nu_eX的首阶微扰贡献,发现它小得不可观测,分支比约为10^-10。我们提出了一个修正的旁观者模型来估计内在魅力的贡献,发现它可以大得多,B ->(c cbar)e- nu_e X的分支比可以大到5 X 10^-7。我们证明,假设运行II的积分亮度为15 fb^-1,可以用CDF在这些能级上观察到该过程,这使得它成为探索内禀粲理论的有用反应。
We review some recent progress in the theory of electroweak radiative corrections in semileptonic decay processes. The resurrection of the so-called Sirlin's representation based on current algebra relations permits a clear separation between the perturbatively-calculable and incalculable pieces in the $\mathcal{O}(G_Fα)$ radiative corrections. The latter are expressed as compact hadronic matrix elements that allow systematic non-perturbative analysis such as dispersion relation and lattice QCD. This brings substantial improvements to the precision of the electroweak radiative corrections in s…
In this work we discuss in detail the non-perturbative determination of the momentum dependence of the form factors entering in semileptonic decays using unitarity and analyticity constraints. The method contains several new elements with respect to previous proposals and allows to extract, using suitable two-point functions computed non-perturbatively, the form factors at low momentum transfer $q^2$ from those computed explicitly on the lattice at large $q^2$, without any assumption about their $q^2$-dependence. The approach will be very useful for exclusive semileptonic $B$-meson decays, whe…
Inspired by a series of unexpected measurements of semileptonic decays mediated via $b\rightarrow c $ charged current interactions, we explore semileptonic $B_c$ decays to the four lightest $P$-wave charmonium states, $χ_{c0}, χ_{c1}, χ_{c2}, h_c$, by the recently developed improved perturbative QCD formalism, in which the charm quark mass effect is included both in the Sudakov factor and the hard kernels. We first directly evaluate the concerned transition form factors with vector and axial-vector currents in the region of small momentum transfer squared, and then recast them to the full kine…
Heavy Quark Symmetry Violation in Semileptonic Decays of D Mesons
$D$介子衰变到$K l ν$和$K^* l ν$末态的过程与重夸克对称性的预言有很大的偏差,因为奇夸克的质量与QCD标度在同一量级。然而,为了了解最重要的影响可能在于较重的系统(如$B \to D lν$和$B \to D^* lν$),这些偏差的模式进行了分析,从微扰QCD和${\cal O}(1/m_s)$修正的立场。注意到两个主要影响。首先,微扰QCD修正导致预测速率的总体下降,这可以理解为激发态的产生。第二,${\cal O}(1/m_s)$效应在$Klν$衰变中倾向于抵消微扰QCD修正,而在$K^*lν$衰变中影响很小。
We examine the perturbative calculation of the inclusive semi-leptonic decay rate $Γ$ for the $b$-quark, using mass-independent renormalization. To finite order of perturbation theory the series for $Γ$ will depend on the unphysical renormalization scale parameter $μ$ and on the particular choice of mass-independent renormalization scheme; these dependencies will only be removed after summing the series to all orders. In this paper we show that all explicit $μ$-dependence of $Γ$, through powers of ln$(μ)$, can be summed by using the renormalization group equation. We then find that this explic…
In this paper, we studied the semileptonic $B/B_s \to (D^{(*)},D_s^{(*)}) lν_l$ decays in the framework of the standard model (SM) , by employing the perturbative QCD (PQCD) factorization formalism combining with the lattice QCD inputs of the relevant transition form factors. We calculated the branching ratios ${\cal B}(B_{(s)} \to D_{(s)}^{(*)} l ν_l )$ with $l=(e,μ.τ)$ , the ratios of the branching ratios $R(D^{(*)})$ and $R(D_s^{(*)} )$ and other physical observables $P_τ(D_{(s)}^{(*)})$, $F_L(D^*_{(s)})$ and $A_{FB}(τ)$. The "PQCD+Lattice" predictions for ${\cal B}(B \to D^{(*)} lν_l)$ and…