<p>We present a Dirac scotogenic-like one loop radiative model where the stability of dark matter is intricately linked to the breaking of <i>A</i><sub>4</sub> flavor symmetry. This breaking induces a <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27381_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msub> <mi mathvariant="script">Z</mi> <mn>2</mn> </msub> </math></EquationSource> <EquationSource Format="TEX">\( {\mathcal{Z}}_2 \)</EquationSource> </InlineEquation> dark symmetry, stabilizing the dark matter candidate. The breaking of <i>A</i><sub>4</sub> → <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27381_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msub> <mi mathvariant="script">Z</mi> <mn>2</mn> </msub> </math></EquationSource> <EquationSource Format="TEX">\( {\mathcal{Z}}_2 \)</EquationSource> </InlineEquation> leads to cutting the loop and facilitating a “scoto inverse-seesaw” mass mechanism responsible for neutrino mass generation. This elucidates the explicit explanation of two mass-squared differences, <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27381_Article_IEq3.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mtext>∆</mtext> <msubsup> <mi>m</mi> <mi>atm</mi> <mn>2</mn> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( \Delta {m}_{\textrm{atm}}^2 \)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27381_Article_IEq4.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mtext>∆</mtext> <msubsup> <mi>m</mi> <mi>sol</mi> <mn>2</mn> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( \Delta {m}_{\textrm{sol}}^2 \)</EquationSource> </InlineEquation> observed in neutrino oscillations. Our model accounts for normal and inverted ordering of neutrino masses, revealing sharp correlations between ∑<i>m</i><sub><i>i</i></sub> and 〈<i>m</i><sub><i>β</i></sub>〉. It also shows strong compatibility with current data in the <i>δ</i><sub>CP</sub>–<i>θ</i><sub>23</sub> plane. Moreover, stringent constraints on scalar masses narrow down the viable dark matter mass regions, accommodating SU(2)<sub><i>L</i></sub> singlet and doublet scalar dark matter as well as fermionic dark matter. Additionally, our model presents a viable avenue for addressing lepton flavor violating decays while remaining consistent with current experimental constraints.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Dirac Scoto inverse-seesaw from A4 flavor symmetry

  • Ranjeet Kumar,
  • Newton Nath,
  • Rahul Srivastava,
  • Sushant Yadav

摘要

We present a Dirac scotogenic-like one loop radiative model where the stability of dark matter is intricately linked to the breaking of A4 flavor symmetry. This breaking induces a Z 2 \( {\mathcal{Z}}_2 \) dark symmetry, stabilizing the dark matter candidate. The breaking of A4 Z 2 \( {\mathcal{Z}}_2 \) leads to cutting the loop and facilitating a “scoto inverse-seesaw” mass mechanism responsible for neutrino mass generation. This elucidates the explicit explanation of two mass-squared differences, m atm 2 \( \Delta {m}_{\textrm{atm}}^2 \) and m sol 2 \( \Delta {m}_{\textrm{sol}}^2 \) observed in neutrino oscillations. Our model accounts for normal and inverted ordering of neutrino masses, revealing sharp correlations between ∑mi and 〈mβ〉. It also shows strong compatibility with current data in the δCPθ23 plane. Moreover, stringent constraints on scalar masses narrow down the viable dark matter mass regions, accommodating SU(2)L singlet and doublet scalar dark matter as well as fermionic dark matter. Additionally, our model presents a viable avenue for addressing lepton flavor violating decays while remaining consistent with current experimental constraints.