Abstract:We study the effect of the MeV-scale asymmetric dark matter annihilation on
the effective number of neutrinos $N_{\rm eff}$ at the epoch of the big bang
nucleosynthesis. If the asymmetric dark matter $\chi$ couples more strongly to
the neutrinos $\nu$ than to the photons $\gamma$ and electrons $e^-$,
$\Gamma_{\chi\gamma, \chi e} \ll \Gamma_{\chi\nu}$, or $\Gamma_{\chi\gamma,
\chi e} \gg \Gamma_{\chi\nu}$, the lower mass limit on the asymmetric dark
matter is about $18$ MeV for $N_{\rm eff}\simeq 3.0$.Comment: … Show more
“…Because the nearly degenerated mass pattern |m 1 | ∼ |m 2 | ∼ |m 3 | is compatible with observed data for the two zero flavor textures, [15][16][17][18][19] we require rank(m D ) = rank(m D ) = 3 for the Dirac mass matrix: e.g., if we allow rank(m D ) < 3, at least one of the neutrino masses m 1 , m 2 , m 3 should vanish and we cannot guarantee the nearly degenerate mass pattern. The Dirac mass matrix with all zero entries in a row or a column such as and with same row or same column such as…”
Section: Allowed Combinations Of Four Zerossupporting
confidence: 77%
“…[26][27][28] In the two zero flavor neutrino mass matrix scheme, there are 15 possible combinations of two vanishing independent elements in the flavor neutrino mass matrix. If we require a nonvanishing Majorana effective mass M ee for the neutrinoless double beta decay, the viable textures are the following [15][16][17][18][19]…”
Section: Seesaw Modelmentioning
confidence: 99%
“…Furthermore, to manipulate this rescaling and to obtain systematic estimation of m D can be well provided by our method to evaluate flavor neutrino masses. 19,21 The complete list of the explicit analytical expressions of the rescaled mass matrix with √ M ee is useful to see how the effect of the neutrinoless double beta decay controls the Dirac neutrino masses. This complete list is shown by analytically for the first time in this paper.…”
In the two zero flavor neutrino mass matrix scheme with nonvanishing Majorana effective mass Mee for the neutrinoless double beta decay, four textures are compatible with observed data. We obtain the complete list of the possible textures of four zero Dirac neutrino mass matrix m D in the seesaw mechanism providing these four flavor neutrino textures. Explicit analytical analysis of m D turns out to provide the relation of m D ∝ √ Mee.
“…Because the nearly degenerated mass pattern |m 1 | ∼ |m 2 | ∼ |m 3 | is compatible with observed data for the two zero flavor textures, [15][16][17][18][19] we require rank(m D ) = rank(m D ) = 3 for the Dirac mass matrix: e.g., if we allow rank(m D ) < 3, at least one of the neutrino masses m 1 , m 2 , m 3 should vanish and we cannot guarantee the nearly degenerate mass pattern. The Dirac mass matrix with all zero entries in a row or a column such as and with same row or same column such as…”
Section: Allowed Combinations Of Four Zerossupporting
confidence: 77%
“…[26][27][28] In the two zero flavor neutrino mass matrix scheme, there are 15 possible combinations of two vanishing independent elements in the flavor neutrino mass matrix. If we require a nonvanishing Majorana effective mass M ee for the neutrinoless double beta decay, the viable textures are the following [15][16][17][18][19]…”
Section: Seesaw Modelmentioning
confidence: 99%
“…Furthermore, to manipulate this rescaling and to obtain systematic estimation of m D can be well provided by our method to evaluate flavor neutrino masses. 19,21 The complete list of the explicit analytical expressions of the rescaled mass matrix with √ M ee is useful to see how the effect of the neutrinoless double beta decay controls the Dirac neutrino masses. This complete list is shown by analytically for the first time in this paper.…”
In the two zero flavor neutrino mass matrix scheme with nonvanishing Majorana effective mass Mee for the neutrinoless double beta decay, four textures are compatible with observed data. We obtain the complete list of the possible textures of four zero Dirac neutrino mass matrix m D in the seesaw mechanism providing these four flavor neutrino textures. Explicit analytical analysis of m D turns out to provide the relation of m D ∝ √ Mee.
“…These textures have been extensively studied [5,[14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. Here for completeness we present some results and give an estimate of the radiative correction for the neutrinoless double beta decay effective mass parameter.…”
In a simple framework which naturally incorporates dark matter stability and neutrino phenomenology, we compute all the possible texture zeros which arise when the non-abelian flavor symmetry A4 is spontaneously broken to Z2. As a result, we obtain four textures with two vanishing matrix elements. Two of such textures predict a zero contribution to the neutrinoless double beta decay effective mass parameter at tree level, and as a one loop bound we get mee < 8 × 10 −2 meV. These are compatible with the normal ordering for the neutrino masses and the allowed range for the lightest neutrino mass is between mν min ∼ 3 meV and mν max ∼ 8 meV. Additionally we obtain dark matter stability linked to the way the flavor symmetry is broken, leaving a residual Z2 symmetry.
“…In paricular, the phenomenology of one-zero and two-zero textures was studied in Refs. [57][58][59][60] and [61][62][63][64][65][66][67][68][69][70][71][72][73][74], respectively. Also, the experimental potential of probing the texture-zero models has been discussed.…”
The scotogenic model can simultaneously account for the presence of dark matter and the origin of neutrino masses. We assume that the flavor neutrino mass matrix has one zero element and Yukawa matrix elements are real in the scotogenic model. It turns out that only one pattern of the flavor neutrino mass matrix in the one-zero-texture scheme within the scotogenic model is viable with the observed neutrino oscillation data, the relic abundance of the dark matter, and the upper limit of the branching ratio of the µ → eγ process. PACS numbers: 14.60.Pq, 95.35.+d, 98.80.Cq
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