<p>Within the Standard Model, the branching fraction of the rare decay <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26285_Article_IEq1.gif" Format="GIF" Height="23" Rendition="HTML" Resolution="72" Type="Linedraw" Width="91" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msub> <mi>B</mi> <mi>s</mi> </msub> <mo>→</mo> <msup> <mi>K</mi> <mn>0</mn> </msup> <msup> <mover accent="true"> <mi>K</mi> <mo stretchy="true">¯</mo> </mover> <mn>0</mn> </msup> </math></EquationSource> <EquationSource Format="TEX">\( {B}_s\to {K}^0{\overline{K}}^0 \)</EquationSource> </InlineEquation> is related to other decay rates and CP asymmetries through the approximate SU(3) flavor symmetry of the strong interactions and the heavy-quark limit. Three such relations were shown to be violated at a level of about 3<i>σ</i> each. By means of a systematic search for new-physics explanations of these puzzles, we find that possible solutions are highly fine-tuned and either excluded by other data or rather implausible. The tight correlation between <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26285_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="80" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msub> <mi>B</mi> <mi>s</mi> </msub> <mo>→</mo> <mi>K</mi> <mover accent="true"> <mi>K</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( {B}_s\to K\overline{K} \)</EquationSource> </InlineEquation> and <i>B</i> → <i>πK</i> decays, which is maintained even in the presence of flavor-specific new-physics operators, plays a central role in our analysis.</p>

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\( {B}_s\to {K}^0{\overline{K}}^0 \) beyond the Standard Model

  • Yuval Grossman,
  • Matthias Neubert,
  • Yosef Nir,
  • Yogev Shpilman,
  • Yehonatan Viernik

摘要

Within the Standard Model, the branching fraction of the rare decay B s K 0 K ¯ 0 \( {B}_s\to {K}^0{\overline{K}}^0 \) is related to other decay rates and CP asymmetries through the approximate SU(3) flavor symmetry of the strong interactions and the heavy-quark limit. Three such relations were shown to be violated at a level of about 3σ each. By means of a systematic search for new-physics explanations of these puzzles, we find that possible solutions are highly fine-tuned and either excluded by other data or rather implausible. The tight correlation between B s K K ¯ \( {B}_s\to K\overline{K} \) and BπK decays, which is maintained even in the presence of flavor-specific new-physics operators, plays a central role in our analysis.