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arXiv · 1309.1385

Basis invariant measure of CP-violation and renormalization

A. Hohenegger·A. Kartavtsev
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Abstract

We analyze, in the context of a simple toy model, for which renormalization schemes the CP-properties of bare Lagrangian and its finite part coincide. We show that this is the case for the minimal subtraction and on-shell schemes. The CP-properties of the theory can then be characterized by CP-odd basis invariants expressed in terms of renormalized masses and couplings. For the minimal subtraction scheme we furthermore show that in CP-conserving theories the CP-odd basis invariants are zero at any scale but are not renormalization group invariant in CP-violating ones.

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A. Hohenegger, A. Kartavtsev. 2014-12-27. Basis invariant measure of CP-violation and renormalization. https://doi.org/10.1016/j.nuclphysb.2015.08.009

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