超简单性:一个显著的高能SUSY性质
Supersimplicity: a remarkable high energy SUSY property
摘要:
在以前的工作中,我们已经建立,对于任何2-2过程中MSSM,只有螺旋度守恒(HC)振幅渐近生存。在研究大量这样的过程时,在1圈电弱(EW)级,我们发现它们的高能HC振幅仅由三种形式决定:两个(s,t,u)变量之比的对数平方函数,加上一个π ^2;两个Sudakov类ln项和ln^2项,分别伴随着各自的质量相关常数。除了附加的剩余常数之外,所有高能HC振幅可以表示为上述三种形式的线性组合,其中系数是$(s,t,u)$变量的有理函数。我们称之为超简单性。应用于$ug\to dW$振幅,其中完整的1 loop表达式是可用的,我们发现,超简单性可能是一个很好的近似在LHC能量,提供超对称尺度不是太高。SM过程也进行了讨论,并探讨了它们的差异。
英文摘要:
In previous work, we have established that for any 2-to-2 process in MSSM, only the helicity conserving (HC) amplitudes survive asymptotically. Studying a large number of such processes, at the 1loop Electroweak (EW) order, it is now found that their high energy HC amplitudes are determined by just three forms: a log-squared function of the ratio of two of the (s,t,u) variables, to which a pi^2 is added; and two Sudakov-like ln- and ln^2-terms accompanied by respective mass-dependent constants. Apart from an additional residual constant, all high energy HC amplitudes, may be expressed as linear combinations of the above three forms, with coefficients being rational functions of the $(s,t,u)$ variables. We call this fact supersimplicity. Applying to the $ug\to dW$ amplitudes, for which the complete 1loop expressions are available, we find that supersimplicity may be a very good approximation at LHC energies, provided the SUSY scale is not too high. SM processes are also discussed, and their differences are explored.
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