arXiv 1503.083192015-03-28hep-thhep-ph

SUSY中的有效算子、超域约束和UV完备化的搜索

Effective operators in SUSY, superfield constraints and searches for a UV completion

E. Dudas, D. M. Ghilencea

备注：: 30 pages, LaTeX

摘要：

讨论了一类高维算子在四维N=1超对称有效理论中的作用。这些理论中的拉格朗日量是在“新物理学”（$Λ$）尺度之下的动量展开，并且包含通过积分出UV完备理论中存在的$Λ$之上的“重态”而产生的有效算符。我们在这一势头扩张中超越了“传统”的领先秩序（在$\partial/Λ$中）。保持明显的超对称性和使用超场{ \it约束}，我们表明，相应的高维（衍生）运营商的手征，线性和矢量超领域的拉格朗日可以“展开”到二阶运营商。“展开”公式只有多项式相互作用和附加的大质量超场，如果有效算子是{ \it quadratic}，其中一些是幽灵般的。使用这个公式，UV理论自然出现，并固定了初始（高阶导数）算子的系数和符号（否则未知）。整合的“展开”配方的大规模领域产生一个有效的理论，只有多项式有效的相互作用相关的现象。我们还提供了几个例子，“展开”的理论与更高的衍生{ \it相互作用}的规范或物质部门，实际上是鬼免费的。然后，我们说明了我们的方法可以应用，即使当包括{ \it所有订单}的动量展开，通过使用一组无限的超场约束和迭代过程，具有类似的结果。

英文摘要：

We discuss the role of a class of higher dimensional operators in 4D N=1 supersymmetric effective theories. The Lagrangian in such theories is an expansion in momenta below the scale of "new physics" ($Λ$) and contains the effective operators generated by integrating out the "heavy states" above $Λ$ present in the UV complete theory. We go beyond the "traditional" leading order in this momentum expansion (in $\partial/Λ$). Keeping manifest supersymmetry and using superfield {\it constraints} we show that the corresponding higher dimensional (derivative) operators in the sectors of chiral, linear and vector superfields of a Lagrangian can be "unfolded" into second-order operators. The "unfolded" formulation has only polynomial interactions and additional massive superfields, some of which are ghost-like if the effective operators were {\it quadratic} in fields. Using this formulation, the UV theory emerges naturally and fixes the (otherwise unknown) coefficient and sign of the initial (higher derivative) operators. Integrating the massive fields of the "unfolded" formulation generates an effective theory with only polynomial effective interactions relevant for phenomenology. We also provide several examples of "unfolding" of theories with higher derivative {\it interactions} in the gauge or matter sectors that are actually ghost-free. We then illustrate how our method can be applied even when including {\it all orders} in the momentum expansion, by using an infinite set of superfield constraints and an iterative procedure, with similar results.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

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