{
  "id": "2103.13431",
  "version": "v1",
  "published": "2021-03-24T18:21:30.000Z",
  "updated": "2021-03-24T18:21:30.000Z",
  "title": "Evolution of Neutrino Mass-Mixing Parameters in Matter with Non-Standard Interactions",
  "authors": [
    "Sanjib Kumar Agarwalla",
    "Sudipta Das",
    "Mehedi Masud",
    "Pragyanprasu Swain"
  ],
  "comment": "37 pages, 13 figures, 2 tables. Comments are welcome",
  "categories": [
    "hep-ph",
    "hep-ex"
  ],
  "abstract": "We explore the role of matter effect in the evolution of neutrino oscillation parameters in the presence of lepton-flavor-conserving and lepton-flavor-violating neutral-current non-standard interactions (NSI) of the neutrino. We derive simple approximate analytical expressions showing the evolution/running of mass-mixing parameters in matter with energy in the presence of standard interactions (SI) and SI+NSI (considering both positive and negative values of real NSI parameters). We observe that only the NSI parameters in the (2,3) block, namely $\\varepsilon_{\\mu\\tau}$ and $(\\gamma - \\beta) \\equiv (\\varepsilon_{\\tau\\tau} - \\varepsilon_{\\mu\\mu})$ affect the running of $\\theta_{23}$. Though all the NSI parameters influence the evolution of $\\theta_{13}$, $\\varepsilon_{e\\mu}$ and $\\varepsilon_{e\\tau}$ show a stronger impact at the energies relevant for DUNE. $\\theta_{12}$ quickly approaches to $\\sim$ $90^{\\circ}$ with increasing energy in both SI and SI+NSI cases. The change in $\\Delta m^2_{21,m}$ is quite significant as compared to $\\Delta m^2_{31,m}$ both in SI and SI+NSI frameworks. Flipping the signs of the NSI parameters alters the way in which mass-mixing parameters run with energy. We demonstrate the utility of our approach in addressing several important features related to neutrino oscillation such as: a) unraveling interesting degeneracies between $\\theta_{23}$ and NSI parameters, b) estimating the resonance energy in presence of NSI when $\\theta_{13}$ in matter becomes maximal, c) figuring out the required baselines and energies to have maximal matter effect in $\\nu_{\\mu}$ $\\rightarrow$ $\\nu_{e}$ transition in the presence of different NSI parameters, and d) studying the impact of NSI parameters $\\varepsilon_{\\mu\\tau}$ and $(\\gamma - \\beta)$ on the $\\nu_{\\mu} \\to \\nu_{\\mu}$ survival probability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-24T18:21:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nsi parameters",
      "neutrino mass-mixing parameters",
      "simple approximate analytical expressions",
      "approximate analytical expressions showing",
      "matter effect"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}