Bottom-tau unification in a supersymmetric model with anomaly-mediation
Bottom-tau unification in a supersymmetric model with anomaly-mediation
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DOI：
10.1103/physrevd.94.035016
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发表时间：
2016-04
影响因子：
5
通讯作者：
So Chigusa;T. Moroi
中科院分区：
文献类型：
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作者：
So Chigusa;T. Moroi
我们研究了汤川统一，特别是汤川耦合常数的$B$和$\ensuremath{\tau}$的统一，在超对称（SUSY）模型的框架。我们集中在模型中，超对称性破坏标量质量的引力子质量的顺序，而高吉诺质量起源于异常调解的效果，因此是一个循环抑制相对于引力子质量。我们在大统一理论（GUT）尺度下对汤川耦合常数$B$和$\ensurmath {\tau}$进行了精确的计算，包括相关的重整化群效应和阈值修正.特别是，我们研究的重整化群效应，考虑到sfermions，gauginos，和标准模型粒子之间的质量分裂。我们发现，如果sfermion质量和gravitino质量之间没有等级关系，那么在大统一尺度下$B$的汤川耦合常数约为$\ensuremath{\tau}$的70%.我们的研究结果表明，相当大的阈值修正汤川耦合常数在大统一尺度或显着supplement的sfermion质量相对于引力子质量。
We study the Yukawa unification, in particular, the unification of the Yukawa coupling constants of $b$ and $\ensuremath{\tau}$, in the framework of the supersymmetric (SUSY) model. We concentrate on the model in which the SUSY breaking scalar masses are of the order of the gravitino mass while the gaugino masses originate from the effect of anomaly mediation and hence are one-loop suppressed relative to the gravitino mass. We perform an accurate calculation of the Yukawa coupling constants of $b$ and $\ensuremath{\tau}$ at the grand unified theory (GUT) scale, including relevant renormalization group effects and threshold corrections. In particular, we study the renormalization group effects, taking into account the mass splittings among sfermions, gauginos, and the standard model particles. We found that the Yukawa coupling constant of $b$ at the GUT scale is about 70% of that of $\ensuremath{\tau}$ if there is no hierarchy between the sfermion masses and the gravitino mass. Our results suggest sizable threshold corrections to the Yukawa coupling constants at the GUT scale or significant suppressions of the sfermion masses relative to the gravitino mass.