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The experimental value for the isospin amplitude ReA2 in K → ππ decays has been successfully explained within the standard model (SM), both within the large N approach to QCD and by QCD lattice calculations. On the other hand within the large N approach the value of ReA0 is by at least 30 % below the data. While this deficit could be the result of theoretical uncertainties in this approach and could be removed by future precise QCD lattice calculations, it cannot be excluded that the missing piece in ReA0 comes from new physics (NP). We demonstrate that this deficit can be significantly softened by tree-level FCNC transitions mediated by a heavy colourless Z^′ gauge boson with a flavour-violating left-handed coupling

Δ_{L}^{s d} (Z^{'})

and an approximately universal flavour diagonal right-handed coupling

Δ_{R}^{q q} (Z^{'})

to the quarks. The approximate flavour universality of the latter coupling assures negligible NP contributions to ReA2. This property, together with the breakdown of the GIM mechanisms at tree level, allows one to enhance significantly the contribution of the leading QCD-penguin operator Q6 to ReA0. A large fraction of the missing piece in the ΔI = 1/2 rule can be explained in this manner for MZ^′ in the reach of the LHC, while satisfying the constraints from εK, id="IEq27">ε^′/ε, id="IEq28">ΔMK, LEP-II and the LHC. The presence of a small right-handed flavour-violating coupling id="IEq29">

Δ_{R}^{s d} (Z^{'}) ≪ Δ_{L}^{s d} (Z^{'})

and of enhanced matrix elements of id="IEq30">ΔS = 2 left–right operators allows one to satisfy simultaneously the constraints from id="IEq31">ReA0 and id="IEq32">ΔMK, although this requires some fine-tuning. We identify the quartic correlation between id="IEq33">Z^′ contributions to id="IEq34">ReA0, id="IEq35">ε^′/ε, id="IEq36">εK and id="IEq37">ΔMK. The tests of this proposal will require much improved evaluations of id="IEq38">ReA0 and id="IEq39">ΔMK within the SM, of id="IEq40">⟨Q₆⟩₀ as well as precise tree-level determinations of id="IEq41">|V_ub| and id="IEq42">|V_cb|. We present correlations between id="IEq43">ε^′/ε, id="IEq44">

K^{+} \to π^{+} ν \bar{ν}

and id="IEq45">

K_{L} \to π^{0} ν \bar{ν}

with and without the id="IEq46">ΔI = 1/2 rule constraint and generalise the whole analysis to id="IEq47">Z^′ with colour ( id="IEq48">G^′) and id="IEq49">Z with FCNC couplings. In the latter case no improvement on id="IEq50">ReA₀ can be achieved without destroying the agreement of the SM with the data on id="IEq51">ReA₂. Moreover, this scenario is very tightly constrained by id="IEq52">ε^′/ε. On the other hand, in the context of the id="IEq53">ΔI = 1/2 rule id="IEq54">G^′ is even more effective than id="IEq55">Z^′: it provides the missing piece in id="IEq56">ReA₀ for id="IEq57">M_G^′ = (3.5– id="IEq58">4.0) TeV.

机译：在标准模型（SM）中，无论是在QCD的大N方法内还是通过QCD晶格计算，都已成功地解释了在K→ππ衰减中同位旋振幅ReA2的实验值。另一方面，在较大的N方法内，ReA0的值比数据低至少30％。尽管这种缺陷可能是这种方法的理论不确定性的结果，并且可以通过将来的精确QCD晶格计算消除，但不能排除ReA0中缺失的部分来自新物理学（NP）。我们证明，由重度无色Z ^{'玻色子和违反风味的左手耦合 $ΔLsd（Z'）和一个近似通用的对角线-手工耦合ΔRqq（Z'）到夸克。后一种偶联的近似风味通用性确保了NP对ReA2的贡献可忽略不计。这一特性以及GIM机制在树级别的分解，使人们可以显着增强领先的QCD企鹅算子Q6对ReA0的贡献。对于LHC范围内的MZ' ，可以用这种方式解释ΔI= 1/2规则中的大部分丢失片段，同时满足约束条件来自 ε K ， id =“ IEq27”> ε' / ε ， id =“ IEq28”>Δ M K ，LEP-II和大型强子对撞机。出现了一个右手违反口味的小耦合 id =“ IEq29”> ΔRsd（Z'）$} 展开▼

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期刊名称 Springer Open Choice

作者
Andrzej J. Buras; Fulvia De Fazio; Jennifer Girrbach;
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作者单位

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年(卷),期 -1(74),7

年度 -1

页码 2950

总页数 40

原文格式 PDF

正文语种

中图分类外科学;

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