$C$ and $CP$ violation in effective field theories

Akdag, Hakan; Kubis, Bastian; Wirzba, Andreas

doi:10.48550/ARXIV.2212.07794

Preprint

FZJ-2022-06033

$C$ and $CP$ violation in effective field theories

Akdag, H. (Corresponding author) ; Kubis, B. ; Wirzba, A.FZJ*

2022
arXiv

arXiv 2212.07794, (2022) [10.48550/ARXIV.2212.07794]

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Please use a persistent id in citations: http://hdl.handle.net/2128/33281 doi:10.48550/ARXIV.2212.07794

Abstract: The quest for new sources of the simultaneous violation of $C$ and $CP$ symmetry was popular in the 1960s and has since been mostly neglected for more than half a century. In this work we revisit fundamental quark-level operators that break $C$ and $CP$ up to and including mass dimension 8 for flavor-conserving transitions, relying on the complete operator sets of the so-called Standard Model effective field theory and the low-energy effective field theory. With the formalism of chiral perturbation theory, we match these quark operators to light-meson physics, derive $C$- and $CP$-odd Lagrangians for several processes in the $η$, $η'$, and pion sectors, and furthermore, as a proof of principle, give estimates for the respective observables in explicit dependence of the underlying high-energy scale for new physics.

Keyword(s): High Energy Physics - Phenomenology (hep-ph) ; Nuclear Theory (nucl-th) ; FOS: Physical sciences

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