Constraining the isotropic CPT-odd coefficients of the Standard Model Extension by a combined DUNE and ESSnuSB analysis

Abstract

Based on an analysis that considers the isotropic CPT-odd Standard Model Extension (SME) coefficients, we find new constraints for them coming from a combined DUNE and ESSnuSB fit. Furthermore, we investigate the correlations of the standard oscillation parameters, the leptonic CP-violating phase, $\hat{I}{´}_{CP}$, and the atmospheric mixing angle, ${\sin }^2\hat{I}{¸}_{23}$, with respect to the SME coefficients $(a_L{)}^T$. The combination of DUNE and ESSnuSB may establish the strongest limit on the diagonal coefficient $(a_L{)}_{\hat{I}¼\hat{I}¼}^T$ compared to the existing limits in the literature. We also consider the possible effect of the SME coefficient $(a_L{)}^Z$ on neutrino propagation and discuss how this can affect DUNE limits on the coefficient $(a_L{)}^T$ found elsewhere.

This version substitute the previous title: "Limits and correlations of T and Z components of CPT-odd coefficients of the Standard Model Extension at DUNE". This also includes a new analysis combining DUNE and ESSnuSB. 26 pages. 9 figures. Published in PRD