Pure annihilation decays of B s 0 → a 0 + a 0 − and B d 0 → in the PQCD approach,Communications in Theoretical Physics

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Pure annihilation decays of B s 0 → a 0 + a 0 − and B d 0 → in the PQCD approach
Communications in Theoretical Physics ( IF 3.1 ) Pub Date : 2021-03-04 , DOI: 10.1088/1572-9494/abe0c1
Yutong Chen , Zewen Jiang , Xin Liu

We study the CP-averaged branching fractions and the CP-violating asymmetries in the pure annihilation decays of ${B}_{s}^{0}\to {a}_{0}^{+}{a}_{0}^{-}$ and ${B}_{d}^{0}\to {K}_{0}^{* +}{K}_{0}^{* -}$ , where ${a}_{0}\ [{K}_{0}^{* }]$ denotes the scalar a ₀(980) and a ₀(1450) [ ${K}_{0}^{* }(800)(\mathrm{or}\ \kappa )$ and ${K}_{0}^{* }(1430)$ ], with the perturbative QCD factorization approach under the assumption of two-quark structure for the a ₀ and ${K}_{0}^{* }$ states. The numerical results show that the branching ratios of the ${B}_{d}^{0}\to {K}_{0}^{* +}{K}_{0}^{* -}$ decays are in the order of 10⁻⁶, while the decay rates of the ${B}_{s}^{0}\to {a}_{0}^{+}{a}_{0}^{-}$ modes are in the order of 10⁻⁵. In light of the measured modes with the same quark components in the pseudoscalar sector, namely, ${B}_{d}^{0}\to {K}^{+}{K}^{-}$ and ${B}_{s}^{0}\to {\pi }^{+}{\pi }^{-}$ , the predictions for the considered decay modes in this work are expected to be measured at the Large Hadron Collider beauty and/or Belle-II experiments in the (near) future. Meanwhile, it is of great interest to find that the twist-3 distribution amplitudes ϕ ^S and ϕ ^T with inclusion of the Gegenbauer polynomials for the scalar a ₀(1450) and ${K}_{0}^{* }(1430)$ states in scenario 2 contribute slightly to the branching ratios while significantly to the CP violations in the ${B}_{d}^{0}\to {K}_{0}^{* }{\left(1430\right)}^{+}{K}_{0}^{* }{\left(1430\right)}^{-}$ and ${B}_{s}^{0}\to {a}_{0}{\left(1450\right)}^{+}{a}_{0}{\left(1450\right)}^{-}$ decays, which indicates that, compared to the asymptotic ϕ ^S and ϕ ^T, these Gegenbauer polynomials could change the strong phases evidently in these pure annihilation decay channels. These predictions await for the future confirmation experimentally, which could further provide useful information to help explore the inner structure of the scalars and shed light on the annihilation decay mechanism.

中文翻译：

在PQCD方法中B _s⁰ → a ₀⁺a ₀⁻和B _d⁰ →的纯an没衰减 ${K} _ {0} ^ {* +}$ ${K} _ {0} ^ {*-}$

我们研究了CP -averaged分支比和CP中的纯湮灭衰变-violating不对称 ${B} _ {s} ^ {0} \ to {a} _ {0} ^ {+} {a} _ {0} ^ {-}$ 和 ${B} _ {d} ^ {0} \ to {K} _ {0} ^ {* +} {K} _ {0} ^ {*-}$ ，其中 ${a} _ {0} \ [{K} _ {0} ^ {* *]]$ 表示所述标量一个 ₀（980）和一个 ₀（1450）[ ${K} _ {0} ^ {*}（800）（\ mathrm {or} \ \ kappa）$ 和 ${K} _ {0} ^ {*}（1430）$ ]，与假设下微扰QCD因子化方法两个夸克结构的a为 ₀和 ${K} _ {0} ^ {*}$ 状态。数值结果表明， ${B} _ {d} ^ {0} \ to {K} _ {0} ^ {* +} {K} _ {0} ^ {*-}$ 衰减的分支比约为10 ^-6，而 ${B} _ {s} ^ {0} \ to {a} _ {0} ^ {+} {a} _ {0} ^ {-}$ 模的衰减率约为10 ^-5。。在光与所述赝扇区相同夸克部件所测量的模式中，即， ${B} _ {d} ^ {0} \ to {K} ^ {+} {K} ^ {-}$ 和 ${B} _ {s} ^ {0} \ to {\ pi} ^ {+} {\ pi} ^ {-}$ ，预期用于本工作所考虑的衰减模式的预测在大型强子对撞机的美容和/或美女-II实验中被测定（不远的将来。同时，有趣的是发现扭曲3的分布振幅ϕ ^S和ϕ ^T包括标量a ₀（1450）和方案2中的状态的Gegenbauer多项式，对分支比的贡献很小，而对方案2的贡献很大。CP的违反和衰变，这表明，相对于渐近φ ${K} _ {0} ^ {*}（1430）$ ${B} _ {d} ^ {0} \ to {K} _ {0} ^ {*} {\ left（1430 \ right）} ^ {+} {K} _ {0} ^ {*} { \ left（1430 \ right）} ^ {-}$ ${B} _ {s} ^ {0} \ to {a} _ {0} {\ left（1450 \ right）} ^ {+} {a} _ {0} {\ left（1450 \ right）} ^ {-}$ ^S和ϕ ^T，这些Gegenbauer多项式可以在这些纯an灭衰变通道中明显改变强相。这些预测正在等待未来的实验确认，这可能会进一步提供有用的信息，以帮助探索标量的内部结构并阐明an灭的衰减机理。

更新日期：2021-03-04

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