<p>We explore baryon-number-violating (|∆<i>B</i>| = 2) processes beyond the well-known neutron-antineutron (<InlineEquation ID="IEq1"> <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, focusing on the <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="normal">Λ</mi> <mo>−</mo> <mover accent="true"> <mi mathvariant="normal">Λ</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( \Lambda -\overline{\Lambda} \)</EquationSource> </InlineEquation> system. The presence of a strange quark in the Λ baryon introduces a new set of six-quark operators roughly of the form (<i>uds</i>)<sup>2</sup>, which are different from the (<i>udd</i>)<sup>2</sup> operators responsible for <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. Using the Standard Model Effective Field Theory (SMEFT), we classify all dimension-9 operators that cause |∆<i>B</i>| = 2 transitions and study their UV completions mediated by exotic scalar fields with trilinear interactions. We demonstrate that in these models, <InlineEquation ID="IEq4"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="normal">Λ</mi> <mo>−</mo> <mover accent="true"> <mi mathvariant="normal">Λ</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( \Lambda -\overline{\Lambda} \)</EquationSource> </InlineEquation> oscillations can occur at tree level, with <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> mixing potentially appearing at higher loop levels. We employ a chiral effective theory to constrain the effective mass mixing <i>δm</i><sub>Λ</sub>, deriving bounds from current experimental limits on <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 and dinucleon decays such as <i>pp</i> → <i>K</i><sup>+</sup><i>K</i><sup>+</sup>. These bounds indicate that <InlineEquation ID="IEq7"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="normal">Λ</mi> <mo>−</mo> <mover accent="true"> <mi mathvariant="normal">Λ</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( \Lambda -\overline{\Lambda} \)</EquationSource> </InlineEquation> oscillations probe a complementary parameter space, sensitive to baryon-number violation at scales up to 10<sup>2</sup> − 10<sup>3</sup> TeV. We show that the existing indirect bounds make it challenging to provide a competitive bound on <i>δm</i><sub>Λ</sub> at BESIII.</p>

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New avenues for |B| = 2 processes beyond neutron-antineutron oscillations

  • Arnau Bas i Beneito,
  • Svjetlana Fajfer,
  • Alexey A. Petrov

摘要

We explore baryon-number-violating (|∆B| = 2) processes beyond the well-known neutron-antineutron ( n n ¯ \( n-\overline{n} \) ) oscillations, focusing on the Λ Λ ¯ \( \Lambda -\overline{\Lambda} \) system. The presence of a strange quark in the Λ baryon introduces a new set of six-quark operators roughly of the form (uds)2, which are different from the (udd)2 operators responsible for n n ¯ \( n-\overline{n} \) oscillations. Using the Standard Model Effective Field Theory (SMEFT), we classify all dimension-9 operators that cause |∆B| = 2 transitions and study their UV completions mediated by exotic scalar fields with trilinear interactions. We demonstrate that in these models, Λ Λ ¯ \( \Lambda -\overline{\Lambda} \) oscillations can occur at tree level, with n n ¯ \( n-\overline{n} \) mixing potentially appearing at higher loop levels. We employ a chiral effective theory to constrain the effective mass mixing δmΛ, deriving bounds from current experimental limits on n n ¯ \( n-\overline{n} \) oscillations and dinucleon decays such as ppK+K+. These bounds indicate that Λ Λ ¯ \( \Lambda -\overline{\Lambda} \) oscillations probe a complementary parameter space, sensitive to baryon-number violation at scales up to 102 − 103 TeV. We show that the existing indirect bounds make it challenging to provide a competitive bound on δmΛ at BESIII.