α = { α

_{s}sin

^{2}θ

_{W}(b

_{1}−b

_{3})+3/5 cos

^{2}θ

_{W}(b

_{3}−b

_{2}) } / (b

_{1}−b

_{2}) + higher-order terms.

"Here, the fine-structure constant α, the strong coupling constant α

_{s}and the weak mixing angle θ

_{W}are evaluated at the same renormalization scale and b

_{1,2,3}are the gauge β-function coefficients. Higher-order terms cannot be neglected to achieve a prediction that matches the experimental accuracy."

Somewhat off topic, another interesting numerological hypothesis is the Gatto-Sartori-Tonin relation.

ReplyDeleteSee also this paper discussing that relation among others: http://arxiv.org/abs/1607.07898

ReplyDeleteThis comment has been removed by the author.

ReplyDelete(Alpha)^-1~137 + ln(137)/137 =137.035912269532

ReplyDeleteln(137)/137~(Pi(137))^-1

Prime number theorem: x/ln(x)~Pi(x)