<p>We perform a systematic study of flavor-changing neutral currents (FCNCs) in the 331 model with right-handed neutrinos (331RHNs), analyzing constraints on the <i>Z</i><sup>′</sup> boson mass from <i>K</i>-, <i>D</i>-, <i>B</i><sub><i>d</i></sub>-, and <i>B</i><sub><i>s</i></sub>-meson oscillations. By explicitly incorporating scalar sector dynamics and quark rotation ambiguities <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mfenced close=")" open="("> <msubsup> <mi>V</mi> <mi>L</mi> <mrow> <mi>u</mi> <mo>,</mo> <mi>d</mi> </mrow> </msubsup> </mfenced> </math></EquationSource> <EquationSource Format="TEX">\( \left({V}_L^{u,d}\right) \)</EquationSource> </InlineEquation>, we demonstrate that <i>Z</i><sup>′</sup> mass limits depend critically on the parametrization of Cabibbo-Kobayashi-Maskawa (CKM) matrix factors. Three scenarios are explored: <b>(i)</b> <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>V</mi> <mi>L</mi> <mi>u</mi> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {V}_L^u \)</EquationSource> </InlineEquation> = <InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>V</mi> <mi>CKM</mi> <mo>†</mo> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {V}_{\textrm{CKM}}^{\dagger } \)</EquationSource> </InlineEquation> (FCNCs restricted to <i>D</i>-mesons), <b>(ii)</b> <InlineEquation ID="IEq4"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>V</mi> <mi>L</mi> <mi>d</mi> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {V}_L^d \)</EquationSource> </InlineEquation> = <i>V</i><sub>CKM</sub> (dominant <i>B</i><sub><i>s</i></sub> constraints), and <b>(iii)</b> a hybrid mixing pattern. Strikingly, <b>scenario i)</b> reduces the <i>Z</i><sup>′</sup> mass bound to <InlineEquation ID="IEq5"> <EquationSource Format="MATHML"><math display="inline"> <msub> <mi>M</mi> <msup> <mi>Z</mi> <mo>′</mo> </msup> </msub> </math></EquationSource> <EquationSource Format="TEX">\( {M}_{Z^{\prime }} \)</EquationSource> </InlineEquation> ≳ 600 GeV — two orders of magnitude below literature values — by leveraging large experimental uncertainties in <i>D</i>-<InlineEquation ID="IEq6"> <EquationSource Format="MATHML"><math display="inline"> <mover accent="true"> <mi>D</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( \overline{D} \)</EquationSource> </InlineEquation> oscillations. Conversely, <b>scenario ii)</b> requires <InlineEquation ID="IEq7"> <EquationSource Format="MATHML"><math display="inline"> <msub> <mi>M</mi> <msup> <mi>Z</mi> <mo>′</mo> </msup> </msub> </math></EquationSource> <EquationSource Format="TEX">\( {M}_{Z^{\prime }} \)</EquationSource> </InlineEquation> ≳ 165 TeV due to stringent <i>B</i><sub><i>s</i></sub> data. We further establish the alignment limit cos(<i>ϕ</i> + <i>φ</i>) = 0 for the SM-like Higgs, showing its viability depends on <InlineEquation ID="IEq8"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>V</mi> <mi>L</mi> <mrow> <mi>u</mi> <mo>,</mo> <mi>d</mi> </mrow> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {V}_L^{u,d} \)</EquationSource> </InlineEquation> configurations, with <i>B</i><sub><i>s</i></sub> systems enforcing |cos(<i>ϕ</i> + <i>φ</i>)| &lt; 0<i>.</i>01 in down-sector FCNC scenarios. Our analysis reveals that strategic choices of quark mixing matrices can suppress FCNC visibility, reconciling the 331 framework with flavor data without ultra-heavy <i>Z</i><sup>′</sup> bosons. This work provides the first unified treatment of SM-like Higgs- and <i>Z</i><sup>′</sup>-mediated FCNCs in 331 models, identifying viable parameter spaces for collider phenomenology.</p>

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Meson mixing bounds on Z mass in the alignment limit: establishing the phenomenological viability of the 331 model

  • Patricio Escalona,
  • João Paulo Pinheiro,
  • A. Doff,
  • C. A. de S. Pires

摘要

We perform a systematic study of flavor-changing neutral currents (FCNCs) in the 331 model with right-handed neutrinos (331RHNs), analyzing constraints on the Z boson mass from K-, D-, Bd-, and Bs-meson oscillations. By explicitly incorporating scalar sector dynamics and quark rotation ambiguities V L u , d \( \left({V}_L^{u,d}\right) \) , we demonstrate that Z mass limits depend critically on the parametrization of Cabibbo-Kobayashi-Maskawa (CKM) matrix factors. Three scenarios are explored: (i) V L u \( {V}_L^u \) = V CKM \( {V}_{\textrm{CKM}}^{\dagger } \) (FCNCs restricted to D-mesons), (ii) V L d \( {V}_L^d \) = VCKM (dominant Bs constraints), and (iii) a hybrid mixing pattern. Strikingly, scenario i) reduces the Z mass bound to M Z \( {M}_{Z^{\prime }} \) ≳ 600 GeV — two orders of magnitude below literature values — by leveraging large experimental uncertainties in D- D ¯ \( \overline{D} \) oscillations. Conversely, scenario ii) requires M Z \( {M}_{Z^{\prime }} \) ≳ 165 TeV due to stringent Bs data. We further establish the alignment limit cos(ϕ + φ) = 0 for the SM-like Higgs, showing its viability depends on V L u , d \( {V}_L^{u,d} \) configurations, with Bs systems enforcing |cos(ϕ + φ)| < 0.01 in down-sector FCNC scenarios. Our analysis reveals that strategic choices of quark mixing matrices can suppress FCNC visibility, reconciling the 331 framework with flavor data without ultra-heavy Z bosons. This work provides the first unified treatment of SM-like Higgs- and Z-mediated FCNCs in 331 models, identifying viable parameter spaces for collider phenomenology.