The scalar non-standard interaction (SNSI) arising due to the coupling of a scalar with neutrino and Standard Model fermions appears as a matter-induced mass term correction to neutrino oscillation Hamiltonian. It introduces absolute neutrino mass dependence on the oscillation probabilities. We have obtained compact analytic expressions in the presence of diagonal SNSI elements employing the Cayley-Hamilton theorem. These SNSI corrections have an explicit matter dependence and they bring out absolute mass dependence through terms having the form \(m_1 + m_2\) , \(m_2-m_1\) , \(m_1 c_{12}^2 + m_2 s_{12}^2\) , \(m_1 s_{12}^2 + m_2 c_{12}^2\) and \(m_3\) .

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Effect of Scalar NSI on Neutrino Oscillations: An Analytic Approach

  • Dharitree Bezboruah,
  • Dibya S. Chattopadhyay,
  • Abinash Medhi,
  • Arnab Sarker,
  • Moon Moon Devi

摘要

The scalar non-standard interaction (SNSI) arising due to the coupling of a scalar with neutrino and Standard Model fermions appears as a matter-induced mass term correction to neutrino oscillation Hamiltonian. It introduces absolute neutrino mass dependence on the oscillation probabilities. We have obtained compact analytic expressions in the presence of diagonal SNSI elements employing the Cayley-Hamilton theorem. These SNSI corrections have an explicit matter dependence and they bring out absolute mass dependence through terms having the form \(m_1 + m_2\) , \(m_2-m_1\) , \(m_1 c_{12}^2 + m_2 s_{12}^2\) , \(m_1 s_{12}^2 + m_2 c_{12}^2\) and \(m_3\) .