Speaker
Description
Chiral gauge theories such as the electroweak SM involve the gamma5 matrix which cannot be defined in dimensional regularization without breaking important properties. The rigorouse t Hooft/Veltman/Breitenlohner/Maison scheme gives up anticommutativity of gamma5. As a result, gauge invariance is broken. In our research programme we determine the required gauge-invariance restoring counterterms. Other talks will focus on progress on the multi-loop level for abelian and non-abelian generic models. This talk will focus particularly on additional difficulties arising in the Standard Model. If time permits the talk will also discuss related issues arising in non-renormalizable EFTs, Fierz identities, and renormalization group beta functions.