2022 Impact factor 4.4
Particles and Fields

Eur. Phys. J. C 18, 673-679
DOI: 10.1007/s100520100573

Facts of life with $\gamma_5$

F. Jegerlehner

Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany

(Received: 13 September 2000 / Published online: 5 February 2001 -© Springer-Verlag 2001)

The increasing precision of many experiments in elementary particle physics leads to continuing interest in perturbative higher order calculations in the electroweak Standard Model or extensions of it. Such calculations are of increasing complexity because more loops and/or more legs are considered. Correspondingly efficient computational methods are mandatory for many calculations. One problem which affects the feasibility of higher order calculations is the problem with $\gamma_5$ in dimensional regularization. Since the subject thirty years after its invention is still controversial I advocate here some ideas which seem not to be common knowledge but might shed some new light on the problem. I present arguments in favor of utilizing an anticommuting $\gamma_5$ and a simple 4-dimensional treatment of the hard anomalies.

© Società Italiana di Fisica, Springer-Verlag 2001