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1 Erratum to: Eur. Phys. J. C https://doi.org/10.1140/epjc/s10052-018-5935-5
The complex phase of the Yukawa coupling \(y_A\) has been erroneously set to zero in the code for Fig. 3a in [1]. The corrected figure is shown in Fig. 1. The Wilson coefficients \(c^N_1\) change sign at about \(m_\psi \simeq 225\) GeV and \(c^N_{4,5,6}\) at \(m_\psi \simeq 425\) GeV. In the Majorana dark matter (DM) case, all the Wilson coefficients are in the range \(10^{-5}\)–\(10^{-4}\), except in the region of DM mass when a Wilson coefficient changes sign. No other results have been affected by this error.
We further want to clarify that the large enhancement of the differential rate for Dirac DM with a vector-like fermion in Fig. 4a in [1] is mainly due to the electric dipole moment \(d_\psi \). The contribution from the magnetic dipole moment \(\mu _\psi \) is large but subdominant, because the relevant non-relativistic operator \(\mathcal {O}_5^N\) is suppressed by \(\vec {v}_{\perp }\) compared to \(\mathcal {O}_{11}^N\). The different spectral shapes in Fig. 4b in [1] are due to the absence of dipole moments for Majorana DM.
Reference
J. Herrero-Garcia, E. Molinaro, M.A. Schmidt, Eur. Phys. J. C 78(6), 471 (2018). https://doi.org/10.1140/epjc/s10052-018-5935-5
Acknowledgements
We would like to thank Michael Gustafsson for pointing out the error.
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Herrero-García, J., Molinaro, E. & Schmidt, M.A. Erratum to: Dark matter direct detection of a fermionic singlet at one loop. Eur. Phys. J. C 82, 53 (2022). https://doi.org/10.1140/epjc/s10052-022-10009-5
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DOI: https://doi.org/10.1140/epjc/s10052-022-10009-5