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

التفاصيل البيبلوغرافية
العنوان: Effective operators in SUSY, superfield constraints and searches for a UV completion
المؤلفون: Dudas, E., Ghilencea, D. M.
سنة النشر: 2015
المجموعة: High Energy Physics - Phenomenology
High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory, High Energy Physics - Phenomenology
الوصف: 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" ($\Lambda$) and contains the effective operators generated by integrating out the "heavy states" above $\Lambda$ present in the UV complete theory. We go beyond the "traditional" leading order in this momentum expansion (in $\partial/\Lambda$). 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.
Comment: 30 pages, LaTeX
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1503.08319
رقم الأكسشن: edsarx.1503.08319
قاعدة البيانات: arXiv