- #1
spaghetti3451
- 1,311
- 31
Why is the coupling constant of the Higgs potential not a constant, but is a running constant?
In other words, ##\lambda (h) \sim \lambda_{0} - \frac{y_{t}}{16\pi^{2}}\text{ln}\big(\frac{h^{2}}{m^{2}}\big) + \frac{\lambda_{0}^{2}}{16\pi^{2}}\text{ln}\big(\frac{h^{2}}{m^{2}}+\cdots##,
where ##\lambda_{0}## is the bare coupling and ##y_{t}=\frac{m_{t}}{VEV}##, ##m_{t}## is the mass of the top quark and VEV is the HIggs vacuum expectation value?
In other words, ##\lambda (h) \sim \lambda_{0} - \frac{y_{t}}{16\pi^{2}}\text{ln}\big(\frac{h^{2}}{m^{2}}\big) + \frac{\lambda_{0}^{2}}{16\pi^{2}}\text{ln}\big(\frac{h^{2}}{m^{2}}+\cdots##,
where ##\lambda_{0}## is the bare coupling and ##y_{t}=\frac{m_{t}}{VEV}##, ##m_{t}## is the mass of the top quark and VEV is the HIggs vacuum expectation value?