最小超对称标准模型(MSSM)中的规范耦合统一有力地表明了大统一理论(GUT)的存在,这可以通过质子衰变的观测来探测。p \to(e+)中质子的寿命|μ +)π 0维六模与GUT质量标度的四次方成正比,与GUT耦合的四次方成反比。我们提供了一个更新的字典的解决方案与通用β-函数系数的相关统一参数,显着升级的细节水平与二阶效应的治疗,并纠正微妙的出版错误。已知具有严格MSSM场含量的F唇SU(5)能在接近10^34年的质子衰变的零检测极限下存活,事实上,先前研究预测的寿命可能很长,以至于目前还不可能成功检测到。最近研究的几类F理论导出的大统一理论模型假设了TeV尺度上的额外的矢量多重态,这些多重态修改了重整化群,从而使SU(3)_C X SU(2)_L统一耦合得到了实质性的增加。我们发现这些模型与F-resh分析相结合,比较F-ast质子衰变,仅勉强避开现有的检测限,并可能落入拟议的下一代探测器(如DUSEL和Hyper-Kamiokande)的可观察范围内。TeV尺度的矢量多重态本身适合于大型强子对撞机的交叉相关。此外,它们的存在放大了翻转SU(5)的对偶质量标度之间的差距,允许延长第二阶段重整化,将大统一推向约化普朗克质量的门槛。
英文摘要:
Gauge coupling unification in the Minimal Supersymmetric Standard Model (MSSM) strongly suggests the existence of a Grand Unified Theory (GUT), which could be probed by the observation of proton decay. Proton lifetime in the p \to (e+|mu+) pi0 dimension six mode is proportional in the fourth power to the GUT mass scale, and inversely proportional in the fourth power to the GUT coupling. We provide an updated dictionary of solutions for the relevant unification parameters with generic beta-function coefficients, significantly upgrading the level of detail with which second order effects are treated, and correcting subtle published errors. F-lipped SU(5) with strict MSSM field content is known to survive existing null detection limits for proton decay approaching 10^34 years, and indeed, the lifetime predicted by prior studies can be so long that successful detection is not currently plausible. Recently studied classes of F-theory derived GUT models postulate additional vector-like multiplets at the TeV scale which modify the renormalization group to yield a substantial increase in the SU(3)_C X SU(2)_L unified coupling. We find the conjunction of these models with the F-resh analysis employed to be comparatively F-ast proton decay, only narrowly evading existing detection limits, and likely falling within the observable range of proposed next generation detectors such as DUSEL and Hyper-Kamiokande. The TeV-scale vector multiplets are themselves suitable for cross correlation by the Large Hadron Collider. Their presence moreover magnifies the gap between the dual mass scales of Flipped SU(5), allowing for an elongated second stage renormalization, pushing grand unification to the doorstep of the reduced Planck mass.
A CERN-based high-intensity high-energy proton source for long baseline neutrino oscillation experiments with next-generation large underground detectors for proton decay searches and neutrino physics and astrophysics