Erratum: Neutrino charge radii from COHERENT elastic neutrino-nucleus scattering [Phys. Rev. D 98 , 113010 (2018)]

Abstract

In this erratum we revise the results given in the paper concerning the limits on the neutrino charge radii obtained from the analysis of the COHERENT data, that were affected by an incorrect treatment of the antineutrino contribution. In the paper we took into account the fact that neutrinos and antineutrinos have opposite charge radii, but we did not notice that also the weak neutral current couplings change sign from neutrinos to antineutrinos. Indeed, both the electromagnetic vector current and the V − A weak neutral current change sign under a CP transformation that changes left-handed neutrinos into righthanded antineutrinos. Therefore the relative sign of the weak neutral current and charge radius contributions does not change from neutrinos to antineutrinos. This correction leads to significant changes of the limits on the neutrino charge radii obtained from the analysis of the COHERENT data.A revised version of our paper with the correct results and discussion is available as the last version of arXiv:1810.05606. Here we present: 1) the corrected version of Table II that contains the numerical results of the analysis of the COHERENT data, 2) the corrected version of Fig. 2 that illustrates the effects of the diagonal charge radii, and 3) the corrected versions of Figs. 3 and 6 that show the allowed regions in the hr 2 ν e i-hr 2 ν μ i plane. The corrections to the text of the paper are as follows: (i) In the abstract the words "especially that of ν μ " must be removed. (ii) Equation (18) and the surrounding text "This is important for the diagonal charge radii that contribute coherently with weak interactions in the cross section (14). Since …[Eq. (18)]…neutrinos and antineutrinos contribute with different signs to the shift of sin 2 ϑ W in Eq. (1)." must be replaced with "However, also g p V and g n V change sign for antineutrinos. Therefore, the diagonal charge radii of neutrinos and antineutrinos generate the same shift of sin 2 ϑ W in Eq. (1)". (iii) The words "whereas the allowed range of hr 2 ν μ i increases by about 30% in the free R n approach" at the end of the text in page 6 must be removed.

Implications of the first detection of coherent elastic neutrino-nucleus scattering (CEvNS) with liquid Argon

“…We now turn our attention to the neutrino charge radius r 2 να with α = e, µ, τ being the flavor index. Likewise the neutrino magnetic moment, r 2 να is also required to be expressed in the mass basis through a rotation with the lepton mixing matrix [22]. Being a helicity-preserving quantity, its impact to the SM cross section is simply taken as a shift on the weak mixing angle according to…”

“…The discovery of coherent elastic scattering of neutrinos off nuclei at the Spallation Neutron Source (SNS) at Oak Ridge National Laboratory (ORNL) using a CsI detector [2] has opened new ways to study key weak interaction parameters, such as the electroweak mixing angle [3,4] and the nuclear form factors [5][6][7], as well as to probe novel neutrino properties beyond the Standard Model (SM) [8]. Among the most interesting possibilities, are those addressing non-standard interactions (NSI) [9][10][11][12][13][14][15][16][17][18][19], electromagnetic neutrino properties [20][21][22][23][24], sterile neutrinos [25][26][27][28], new light mediators [29][30][31][32][33][34][35] and dark matter [36,37]. The study of these scenarios would provide important hints for physics beyond the current three-massive-neutrino paradigm of elementary particles.…”

“…We neglect the contribution of the term proportional to Z 2 corresponding to transition charge radii[22].…”

Constraints on neutrino millicharge and charge radius from neutrino-atom scattering

“…The results of our fit of the time-dependent COHERENT data [4] are presented in Ref. [8]. In addition to the customary, diagonal charge radii, from the COHERENT data we have obtained for the first time limits on the neutrino transition charge radii [8]:…”

“…Here we consider the process ν + a(Z, N) → a(Z, N) + ν =e,µ,τ where an utrarelativistic neutrino with energy E ν elastically scatters on an atomic nucleus, having Z protons and N neutrons, in a detector at energy-momentum transfer q = (T, q). For a spin-zero nucleus and T a E ν , where T a = T is the nuclear recoil kinetic energy, the differential cross section due to the weak and chargeradius scattering channels is given by [6,8]…”