Constraints on new physics from decays of polarized <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msubsup> <mml:mi mathvariant="normal">Λ</mml:mi> <mml:mi>b</mml:mi> <mml:mn>0</mml:mn> </mml:msubsup> </mml:math> baryons at the FCC-ee

The <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msup> <a:mi>Z</a:mi> <a:mn>0</a:mn> </a:msup> </a:math> bosons produced in electron-positron collisions at the potential Future Circular Collider (FCC-ee) provide unique opportunities for flavor physics. The nonzero polarization of <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:msubsup> <c:mi mathvariant="normal">Λ</c:mi> <c:mi>b</c:mi> <c:mn>0</c:mn> </c:msubsup> </c:math> baryons produced in <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"> <f:msup> <f:mi>Z</f:mi> <f:mn>0</f:mn> </f:msup> </f:math> decays enables access to a much larger set of observables than at the LHC, where the <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"> <h:msubsup> <h:mi mathvariant="normal">Λ</h:mi> <h:mi>b</h:mi> <h:mn>0</h:mn> </h:msubsup> </h:math> baryons are produced unpolarized. This paper presents a toy angular analysis of <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"> <k:msubsup> <k:mi mathvariant="normal">Λ</k:mi> <k:mi>b</k:mi> <k:mn>0</k:mn> </k:msubsup> <k:mo stretchy="false">→</k:mo> <k:mrow> <k:mi mathvariant="normal">Λ</k:mi> <k:mo stretchy="false">(</k:mo> <k:mo stretchy="false">→</k:mo> <k:mi>p</k:mi> <k:msup> <k:mi>π</k:mi> <k:mo>−</k:mo> </k:msup> <k:mo stretchy="false">)</k:mo> <k:msup> <k:mi>μ</k:mi> <k:mo>+</k:mo> </k:msup> <k:msup> <k:mi>μ</k:mi> <k:mo>−</k:mo> </k:msup> </k:mrow> </k:math> decays using simulation samples of collisions at the FCC-ee reconstructed using the IDEA detector concept and assuming a dataset of <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"> <s:mn>6</s:mn> <s:mo>×</s:mo> <s:msup> <s:mn>10</s:mn> <s:mn>12</s:mn> </s:msup> </s:math> <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"> <u:msup> <u:mi>Z</u:mi> <u:mn>0</u:mn> </u:msup> </u:math> bosons. While the statistical sensitivity achieved for individual angular observables is not expected to significantly exceed that from the LHCb Upgrade II experiment, the addition of the polarized observables leads to a significant improvement of the knowledge on the Wilson coefficients <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"> <w:msub> <w:mi>C</w:mi> <w:msup> <w:mn>9</w:mn> <w:mrow> <w:mo stretchy="false">(</w:mo> <w:mo>′</w:mo> <w:mo stretchy="false">)</w:mo> </w:mrow> </w:msup> </w:msub> </w:math> and <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"> <ab:msub> <ab:mi>C</ab:mi> <ab:mrow> <ab:msup> <ab:mn>10</ab:mn> <ab:mrow> <ab:mo stretchy="false">(</ab:mo> <ab:mo>′</ab:mo> <ab:mo stretchy="false">)</ab:mo> </ab:mrow> </ab:msup> </ab:mrow> </ab:msub> </ab:math> .

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