Probing the desert using gauge coupling unification
Probing the desert using gauge coupling unification
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DOI：
10.1016/0370-2693(91)90980-5
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发表时间：
1991-05
影响因子：
4.4
通讯作者：
J. Ellis;S. Kelley;D. Nanopoulos
中科院分区：
文献类型：
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作者：
J. Ellis;S. Kelley;D. Nanopoulos
在具有任意中间尺度的超对称大统一模型中，我们给出了sin2θw、统一尺度Mx和统一尺度α(Mx)上的耦合的解析单环表达式。我们修正这些表达式，使之符合输入中心值的双环计算。我们的一般结果很快就决定了一个特定的模型是否有希望与低能量耦合兼容。然后，我们将这些结果应用于传统的超对称SU(5)和超对称翻转SU (5) × U(1)。这些结果转化为额外中间尺度函数的窄界。特别是，我们得出结论，即使考虑到低能耦合的实验不确定性以及超对称和希格斯阈值的影响，没有额外阈值的传统超对称SU(5)大统一与sin2θw的测量值相差约一个标准差。我们还计算了最小翻转SU (5) × U(1)中质子衰变的范围，考虑了低能耦合中的不确定性以及超对称和希格斯阈值的影响。没有观测到质子衰变给出了在最小模型之外的附加中间尺度的另一个函数的边界。
We present analytic one-loop expressions for sin2θw, the unification scale Mx, and the coupling at the unification scale α(Mx), in supersymmetric grand-unified models with arbitrary intermediate scales. We correct these expressions to agree with a two-loop calculation for central values of the inputs. Our general results quickly determine whether a particular model has hope of compatibility with the low energy couplings. We then apply these results to traditional supersymmetric SU (5) and to supersymmetric flipped SU (5) × U (1). These results translate into a narrow bound on a function of the extra intermediate scales. In particular, we conclude that even allowing for the experimental uncertainties in low-energy couplings and effects of supersymmetric and Higgs thresholds, traditional supersymmetric SU (5) grand unification without extra thresholds is about one standard deviation away from the measured value of sin2θw. We also calculate the range of proton decay in minimal flipped SU (5) × U (1) allowing for uncertainties in the low-energy couplings and the effects of supersymmetric and Higgs thresholds. Non-observation of proton decay gives a bound on another function of additional intermediate scales beyond the minimal model.