<p>Next-generation experiments, such as the Deep Underground Neutrino Experiment and the European Spallation Source, are set to improve sensitivity to neutron-antineutron oscillation, a direct probe of ∆<i>B</i> = 2 baryon number violation, with particularly significant gains expected at the latter. The discovery of such a rare ∆<i>B</i> = 2 process would indicate physics beyond the Standard Model and could point to specific unified theories that allow observable <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi>n</mi> <mo>−</mo> <mover accent="true"> <mi>n</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( n-\overline{n} \)</EquationSource> </InlineEquation> transitions. We accordingly examine <InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math display="inline"> <mi>n</mi> <mo>−</mo> <mover accent="true"> <mi>n</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( n-\overline{n} \)</EquationSource> </InlineEquation> oscillations within a unified framework that accounts for charged fermion masses and generates viable neutrino masses via the seesaw mechanism. More specifically, we show that <InlineEquation ID="IEq4"> <EquationSource Format="MATHML"><math display="inline"> <mi>n</mi> <mo>−</mo> <mover accent="true"> <mi>n</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( n-\overline{n} \)</EquationSource> </InlineEquation> oscillations can arise from two specific topologies within two distinct SU(5) scenarios. One topology requires a presence of two color-sextet scalars in the Type II seesaw framework, whereas the other involves a scalar sextet and a color-octet fermion in the Type III seesaw framework. While the former topology can be realized in the SO(10)/Pati-Salam frameworks, the latter finds a natural embedding in SU(5), which constitutes one of the key novelties of our work. Remarkably enough, the same dynamics responsible for fermion masses also induces baryon number violation, thus linking <InlineEquation ID="IEq5"> <EquationSource Format="MATHML"><math display="inline"> <mi>n</mi> <mo>−</mo> <mover accent="true"> <mi>n</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( n-\overline{n} \)</EquationSource> </InlineEquation> oscillations to the flavor structure of the theory. We show that, given a TeV-scale mass for one of the colored states, upcoming searches for such ∆<i>B</i> = 2 processes can probe for a presence of the other colored states with masses up to 10<sup>11</sup> GeV, well beyond the reach of colliders. This positions <InlineEquation ID="IEq6"> <EquationSource Format="MATHML"><math display="inline"> <mi>n</mi> <mo>−</mo> <mover accent="true"> <mi>n</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( n-\overline{n} \)</EquationSource> </InlineEquation> oscillations as a rare low-energy portal to grand unification and ultra-heavy new physics.</p>

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Beyond neutrino mass: observable n-\( \overline{n} \) oscillations in UV complete seesaw models

  • Ilja Doršner,
  • Svjetlana Fajfer,
  • Shaikh Saad

摘要

Next-generation experiments, such as the Deep Underground Neutrino Experiment and the European Spallation Source, are set to improve sensitivity to neutron-antineutron oscillation, a direct probe of ∆B = 2 baryon number violation, with particularly significant gains expected at the latter. The discovery of such a rare ∆B = 2 process would indicate physics beyond the Standard Model and could point to specific unified theories that allow observable n n ¯ \( n-\overline{n} \) transitions. We accordingly examine n n ¯ \( n-\overline{n} \) oscillations within a unified framework that accounts for charged fermion masses and generates viable neutrino masses via the seesaw mechanism. More specifically, we show that n n ¯ \( n-\overline{n} \) oscillations can arise from two specific topologies within two distinct SU(5) scenarios. One topology requires a presence of two color-sextet scalars in the Type II seesaw framework, whereas the other involves a scalar sextet and a color-octet fermion in the Type III seesaw framework. While the former topology can be realized in the SO(10)/Pati-Salam frameworks, the latter finds a natural embedding in SU(5), which constitutes one of the key novelties of our work. Remarkably enough, the same dynamics responsible for fermion masses also induces baryon number violation, thus linking n n ¯ \( n-\overline{n} \) oscillations to the flavor structure of the theory. We show that, given a TeV-scale mass for one of the colored states, upcoming searches for such ∆B = 2 processes can probe for a presence of the other colored states with masses up to 1011 GeV, well beyond the reach of colliders. This positions n n ¯ \( n-\overline{n} \) oscillations as a rare low-energy portal to grand unification and ultra-heavy new physics.