Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New CP Phase and Exact Oscillation Probabilities of Dirac Neutrino
  derived from Relativistic Equation   We present a new formulation deriving the neutrino oscillation probabilities
relativistically based on not the Schr$\ddot{\rm o}$dinger equation but the
Dirac equation. In two generations, we calculate the oscillation probabilities
exactly in the case that there exists only the Dirac mass term. We find that
two kinds of new terms appear in the oscillation probabilities derived from the
Dirac equation. One is the term dependent on the absolute value of neutrino
mass. Although it has been considered that the oscillation probabilities depend
only on the mass squared differences until now, we could observe the absolute
value of mass through neutrino oscillations in principle. The other is the term
including a new CP phase. If there are some interactions to distinguish the
flavors of right-handed neutrinos beyond the Standard Model, we could also
observe this new CP phase in principle even in the framework of two
generations. We discuss the possibility to observe the contribution of these
terms by the neutrino oscillations of atomic size. On the other hand, it is
negligible in the usual short and long-baseline experiments, and there is no
contradiction with previous experiments.

2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph