arXiv 1204.62012012-04hep-ph

协变θ-正合非对易标准模型中的禁戒和不可见Z玻色子衰变

Forbidden and invisible Z boson decays in covariant theta-exact noncommutative standard model

Raul Horvat, Amon Ilakovac, Dalibor Kekez, Josip Trampetic, Jiangyang You

备注：: Major revised version, containing 9 pages and 3 figures, to be published in Journal of Physics G: Nuclear and Particle Physics. Addition of a gauge-field-deformation freedom. Consequently added a number of important equations and references, changed Figs 1,2,3, and changed introduction and discussion sections

摘要：

三重中性规范玻色子和U（1）_Y-中微子直接相互作用在普通场论中是不存在的，但在非对易规范场理论中可以很自然地出现。使用非微扰的方法和Seiberg-Witten映射为基础的协变方法的非对易规范理论，我们已经找到了θ-精确的表达这两个相互作用，从而消除了以前的限制，低能量的现象。特别是，我们第一次得到的协变，θ-精确，三重中性规范玻色子的相互作用内的非对易标准模型规范部门，包括一个额外的规范场变形自由。最后，我们讨论了Z->2gamma和Z->中微子对衰变的影响，并表明我们的结果在所有的相互作用能量标度中表现得相当合理。

英文摘要：

The triple neutral gauge boson and direct U(1)_Y-neutrino interactions, being absent in ordinary field theory, can arise quite naturally in noncommutative gauge field theories. Using non-perturbative methods and a Seiberg-Witten map based covariant approach to noncommutative gauge theory, we have found theta-exact expressions for both interactions, thereby eliminating previous restrictions to low-energy phenomena. In particular we obtain for the first time the covariant, theta-exact, triple neutral gauge boson interactions within the noncommutative Standard Model gauge sector including an additional gauge-field deformation freedom. Finally we discuss implications for Z->2gamma and Z->neutrino-pair decays, and show that our results behave quite reasonably throughout all interaction energy scales.

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