Basis invariant measure of CP-violation and renormalization.
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OriginalversjonHohenegger, A., Kartavtsev, A. (2015) Basis invariant measure of CP-violation and renormalization. Nuclear Physics B, 899, pp. 476–488 10.1016/j.nuclphysb.2015.08.009
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.
©2015 Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/),originally published in Nuclear Physics B. Funded by SCOAP3.