Two-loop gauge coupling $\beta$-function in a four-dimensional framework: the Standard Model case

Understand

At present, the gauge coupling $\beta$-function in the Standard Model (SM) is known up to four-loop order.

• As most SM calculations, dimensional regularization was employed.
• Despite its striking success, other regularization schemes have emerged, which aim to stay in the physical dimension as far as possible.
• In this contribution, we apply Implicit Regularization, a scheme defined in momentum space that complies with BPHZ, to obtain the two-loop gauge coupling $\beta$-function in the Standard Model.