Bajc-Melfo Alba使YUMGUTs成为可能
Bajc-Melfo Vacua enable YUMGUTs
摘要：
Bajc-Melfo（\textbf{BM}）双场（$S,ϕ$）超势定义了亚稳F项超对称破缺真空，适合作为可计算的和现实的族和大一统统一模型的隐藏扇区。打破超对称性的波隆尼场的未确定的vev $<S_s>$可以通过耦合到N=1的超引力或通过辐射修正来固定。\textbf{BM}隐藏扇区扩展到计量$O(N_g)$族对称性的对称多重态$(S,ϕ)_{ab}$，在GUT尺度上被破坏，使得$O(N_g)$带电分量vev $<\hat S_{ab}>$在考虑$O(N_g)$ D项之前也是不确定的：其通过抵消来自可见扇区的D项贡献来固定它们。这有助于[C. S. Aulakh和C. K. Khosa，Phys.Rev.D 90，045008（2014）]中提出的Yukawon超最小GUT（YUMGUT），其通过将可见扇区从给出族对称性$ O(N_g)$的空D项的需要中解脱出来。分析了超引力分辨情况下$N_g=1,2,3$的对称破缺和隐扇形场的谱。除了Polonyi场$S_s$，大部分超场$\hat S_{ab}$仍然是轻的，费米子只从环校正中获得质量。这样的模式可能会产生新的暗物质轻于100 GeV。可能的Polonyi和模量的领域$S_{ab}$相关的问题，要求详细调查的回路效应，由于汤川和规范的相互作用在隐藏的部门和后通货膨胀领域的弛豫动力学。
英文摘要：
Bajc-Melfo(\textbf{BM}) two field ($S,ϕ$) superpotentials define metastable F-term supersymmetry breaking vacua suitable as hidden sectors for calculable and realistic family and Grand Unification unification models. The undetermined vev $<S_s>$ of the Polonyi field that breaks Supersymmetry can be fixed either by coupling to N=1 Supergravity or by radiative corrections. \textbf{BM} hidden sectors extend to symmetric multiplets $(S,ϕ)_{ab}$ of a gauged $O(N_g)$ family symmetry, broken at the GUT scale, so that the $O(N_g)$ charged component vevs $<\hat S_{ab}>$ are also undetermined before accounting for the $O(N_g)$ D-terms: which fix them by cancellation against D-term contributions from the visible sector. This facilitates Yukawon Ultra Minimal GUTs(YUMGUTs) proposed in [C.S.Aulakh and C.K.Khosa, Phys.Rev.D 90,045008(2014)] by relieving the visible sector from the need to give null D-terms for the family symmetry $ O(N_g)$. We analyze symmetry breaking and and spectra of the hidden sector fields in the Supergravity resolved case when $N_g=1,2,3$. Besides the Polonyi field $S_s$, most of the superfields $\hat S_{ab}$ remain light, with fermions getting masses only from loop corrections. Such modes may yield novel dark matter lighter than 100 GeV. Possible Polonyi and moduli problems associated with the the fields $S_{ab}$ call for detailed investigation of loop effects due to the Yukawa and gauge interactions in the hidden sector and of post-inflationary field relaxation dynamics.
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