低能跑动耦合常数形式对低能常数的影响

The Form of the Low-energy Coupling Constant and Its Influence on the Low-energy Constants

【目的】探寻一种理论值与实验值接近的低能跑动耦合常数的形式,比较几种低能跑动耦合常数形式对低能常数的影响。【方法】选取3种低能跑动耦合常数的形式及其变形,利用已有的耦合常数和低能常数的关系,数值计算出低能常数并与实验值作比较。【结果】发现1种与实验符合的低能跑动耦合常数的可能形式,并给出低能常数新的理论预言值。【结论】对于跑动耦合常数低能部分是一个平台的情况,无论其二阶导数是否连续,数值结果对低能常数的影响均较小,并且绝对值都系统地偏大;对于给出的低能耦合常数不是平台的形式,可以通过对参数的调节使得计算的低能常数与实验结果相符。

【Objective】The forms of the low-energy running coupling constant(LERCC)were explored in existing papers,and their influences on the low-energy constants(LECs)were compared.【Methods】Three kinds of the forms of LERCC and their modifications were selected.The LECs were calculated according to the relationship between LERCC and LECs,and the calculated values were compared with the experimental ones.【Results】We get a possible form of the LERCC,which consists with the experimental data.We also give the new theoretical values of the LECs.【Conclusion】When the LERCC is a platform,regardless of whether the second order derivative of LERCC is continuous or not,the influences of LECs numerical results seem small,and the absolute values are systematically larger than the experimental values.When the LERCC is not a platform,we can adjust the parameters to make calculated LECs consistent with the experimental values.