arXiv 0812.17312008-12hep-thhep-ph

非对易费米子和夸克偶素衰变

Noncommutative fermions and quarkonia decays

C. Tamarit, J. Trampetic

备注：: 17 pages, 7 figures. Version 2 includes minor revisions and new comments about discrete C,P,T, symmetries
发表信息：: Phys.Rev.D79:025020,2009
DOI：: 10.1103/PhysRevD.79.025020

摘要：

最近引入的变形的非最小版本的非对易标准模型的双代数方法，具有一个单圈的可重整规范扇区涉及高阶规范项，促使我们考虑扩展的费米子扇区与额外的变形，即高阶费米子项的可能性。由于模型的费米子扇区的可重整性性质还不完全清楚，我们使用一个有效的费米子拉格朗日量，其中包括非对易高阶项，涉及与非对易$θ$张量的收缩，除了明星产品，使这些条款在交换极限零化。这些项中的一些在弱扇区违反CPT，而一些在强扇区和超荷扇区违反CP。我们应用这个框架重新评估夸克偶素（\bar{q} q_{1} = J/π，π）到两个光子的衰变率。这些在普通标准模型中被禁止的衰变，以前曾被研究为非对易性的可能信号，但不是在表现更好的非对易标准模型的变形非最小版本的框架内。弱CPT或强超荷CP破坏相互作用对结果没有贡献。如果模型的参数取自然值，那么对于绝大多数构型，得到的分支比相对于非对易标准模型的最小版本中的值得到增强。此外，对于超过一半的参数空间，速率大于在非最小非交换标准模型的未变形版本中计算的最大速率。调整无量纲参数，预测的分支比可以落在当前的实验范围内。

英文摘要：

The recent introduction of a deformed non-minimal version of the noncommutative Standard Model in the enveloping-algebra approach, having a one-loop renormalisable gauge sector involving a higher order gauge term, motivates us to consider the possibility of extending the fermion sector with additional deformations, i.e. higher order fermionic terms. Since the renormalisability properties of the fermion sector of the model are not yet fully known, we work with an effective fermion lagrangian which includes noncommutative higher order terms involving a contraction with the noncommutative $θ$ tensor aside from the star products, so that these terms annihilate in the commutative limit. Some of these terms violate CPT in the weak sector, and some violate CP in the strong and hypercharge sectors. We apply this framework to the reevaluation of the decay rates of quarkonia (\bar{q}q_{1} = J/ψ, Υ) into two photons. These decays, which are forbidden in the ordinary Standard Model, had been previously studied as possible signals for noncommutativity, but not in the framework of the better behaved deformed non-minimal version of the noncommutative Standard Model. Weak CPT or strong-hypercharge CP violating interactions do not contribute to the result. If the parameters of the model take natural values, for the vast majority of configurations the resulting branching ratios are enhanced with respect to their values in the minimal version of the noncommutative Standard Model. Also for more than half of the parameter space, the rates are larger than the maximal rates that were calculated in the undeformed version of the non-minimal noncommutative Standard Model. Tuning the dimensionless parameters the predicted branching ratios can fall within the current experimental bounds.

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