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arXiv 0904.2646hep-ph
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高能下SUSY振幅的一个特殊性质

A peculiar property of SUSY amplitudes at high energy

M. Beccaria, F. M. Renard, C. Verzegnassi

摘要:

我们观察到,在高能下,对夸克+胶子到夸克+Higgs振幅的电弱单圈修正,在SM情形下涉及能量的单次和二次修正,而在MSSM情形下只涉及能量的二次修正.我们探索这种特殊的超对称性取消的起源,无论是在一个图解的方式,并通过分裂+参数重整化过程。我们证明了重整化Higgs-Fermion-Fermion和Higgsino-Fermion-Fermion顶点的超对称性不是偶然的,而是一种可解释的普遍的超对称性,它直接反映在这些过程中,例如在$bg\to tH^-$,$bg\to bH^0$,$bg\to bh^0$,$bg\to bA^0$中,以及通过在$bg\to tW^-_{long}$,$bg\to bZ_{long}$,以及在$bg\to \tilde{t}χ^-$,$bg\to\tilde{b}χ^0$中的等价性.这种简化的高能量的行为(只留下二次方程涉及纯规范耦合没有任何自由参数)允许写这些各种过程之间的简单关系,构成真正的测试假设的超对称模型。

英文摘要:

We observe that the electroweak one loop correction to the quark+gluon to quark+Higgs amplitude at high energy involves both single and quadratic logarithms of the energy in the SM case but only quadratic logarithms in the MSSM case. We explore the origin of this special SUSY cancellation, both in a diagrammatic way and through the splitting+Parameter Renormalization procedure. We show that it is not an accident but a remarkableand general SUSY property of the renormalized Higgs-fermion-fermion and Higgsino-sfermion-fermion vertices which directly reflects in such processes, for example in $bg\to tH^-$, $bg\to bH^0$, $bg\to bh^0$, $bg\to bA^0$, and through equivalence in $bg\to tW^-_{long}$, $bg\to bZ_{long}$, as well as in $bg\to \tilde{t}χ^-$, $bg\to\tilde{b}χ^0$. This simplification of the high energy behaviour (which only leaves quadratic logarithms involving pure gauge couplings without any free parameter) allows to write simple relations among these various processes which constitute genuine tests of the assumed SUSY model.

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