<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msub> <mml:mi mathvariant="normal">Ξ</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mo stretchy="false">→</mml:mo> <mml:mi mathvariant="normal">Ξ</mml:mi> </mml:math> semil

We present a light-cone QCD sum rule (LCSR) analysis of the semileptonic decays of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msub> <a:mi mathvariant="normal">Ξ</a:mi> <a:mi>c</a:mi> </a:msub> </a:math> baryons, focusing on the channels <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"> <d:msubsup> <d:mi mathvariant="normal">Ξ</d:mi> <d:mi>c</d:mi> <d:mn>0</d:mn> </d:msubsup> <d:mo stretchy="false">→</d:mo> <d:msup> <d:mi mathvariant="normal">Ξ</d:mi> <d:mo>−</d:mo> </d:msup> <d:msup> <d:mo>ℓ</d:mo> <d:mo>+</d:mo> </d:msup> <d:msub> <d:mi>ν</d:mi> <d:mo>ℓ</d:mo> </d:msub> </d:math> , and <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:msubsup> <i:mi mathvariant="normal">Ξ</i:mi> <i:mi>c</i:mi> <i:mo>+</i:mo> </i:msubsup> <i:mo stretchy="false">→</i:mo> <i:msup> <i:mi mathvariant="normal">Ξ</i:mi> <i:mn>0</i:mn> </i:msup> <i:msup> <i:mo>ℓ</i:mo> <i:mo>+</i:mo> </i:msup> <i:msub> <i:mi>ν</i:mi> <i:mo>ℓ</i:mo> </i:msub> </i:math> . The transition form factors are calculated within the light-cone quantum chromodynamics (QCD) sum rules framework, using the distribution amplitudes of the heavy <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"> <n:msub> <n:mi mathvariant="normal">Ξ</n:mi> <n:mi>c</n:mi> </n:msub> </n:math> baryons. The obtained form factors are then used to compute the differential and total decay widths, as well as the branching fractions. Our numerical results for the branching fractions are <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"> <q:mi mathvariant="script">B</q:mi> <q:mo stretchy="false">(</q:mo> <q:msubsup> <q:mi mathvariant="normal">Ξ</q:mi> <q:mi>c</q:mi> <q:mn>0</q:mn> </q:msubsup> <q:mo stretchy="false">→</q:mo> <q:msup> <q:mi mathvariant="normal">Ξ</q:mi> <q:mo>−</q:mo> </q:msup> <q:msup> <q:mo>ℓ</q:mo> <q:mo>+</q:mo> </q:msup> <q:msub> <q:mi>ν</q:mi> <q:mo>ℓ</q:mo> </q:msub> <q:mo stretchy="false">)</q:mo> <q:mo>=</q:mo> <q:mo stretchy="false">(</q:mo> <q:mn>3.73</q:mn> <q:mo>±</q:mo> <q:mn>1.04</q:mn> <q:mo stretchy="false">)</q:mo> <q:mo>%</q:mo> </q:math> , <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"> <ab:mi mathvariant="script">B</ab:mi> <ab:mo stretchy="false">(</ab:mo> <ab:msubsup> <ab:mi mathvariant="normal">Ξ</ab:mi> <ab:mi>c</ab:mi> <ab:mn>0</ab:mn> </ab:msubsup> <ab:mo stretchy="false">→</ab:mo> <ab:msup> <ab:mi mathvariant="normal">Ξ</ab:mi> <ab:mo>−</ab:mo> </ab:msup> <ab:msup> <ab:mi>μ</ab:mi> <ab:mo>+</ab:mo> </ab:msup> <ab:msub> <ab:mi>ν</ab:mi> <ab:mi>μ</ab:mi> </ab:msub> <ab:mo stretchy="false">)</ab:mo> <ab:mo>=</ab:mo> <ab:mo stretchy="false">(</ab:mo> <ab:mn>3.59</ab:mn> <ab:mo>±</ab:mo> <ab:mn>1.01</ab:mn> <ab:mo stretchy="false">)</ab:mo> <ab:mo>%</ab:mo> </ab:math> , <kb:math xmlns:kb="http://www.w3.org/1998/Math/MathML" display="inline"> <kb:mi mathvariant="script">B</kb:mi> <kb:mo stretchy="false">(</kb:mo> <kb:msubsup> <kb:mi mathvariant="normal">Ξ</kb:mi> <kb:mi>c</kb:mi> <kb:mo>+</kb:mo> </kb:msubsup> <kb:mo stretchy="false">→</kb:mo> <kb:msup> <kb:mi mathvariant="normal">Ξ</kb:mi> <kb:mn>0</kb:mn> </kb:msup> <kb:msup> <kb:mo>ℓ</kb:mo> <kb:mo>+</kb:mo> </kb:msup> <kb:msub> <kb:mi>ν</kb:mi> <kb:mo>ℓ</kb:mo> </kb:msub> <kb:mo stretchy="false">)</kb:mo> <kb:mo>=</kb:mo> <kb:mo stretchy="false">(</kb:mo> <kb:mn>11.2</kb:mn> <kb:mo>±</kb:mo> <kb:mn>3.25</kb:mn> <kb:mo stretchy="false">)</kb:mo> <kb:mo>%</kb:mo> </kb:math> , and <ub:math xmlns:ub="http://www.w3.org/1998/Math/MathML" display="inline"> <ub:mi mathvariant="script">B</ub:mi> <ub:mo stretchy="false">(</ub:mo> <ub:msubsup> <ub:mi mathvariant="normal">Ξ</ub:mi> <ub:mi>c</ub:mi> <ub:mo>+</ub:mo> </ub:msubsup> <ub:mo stretchy="false">→</ub:mo> <ub:msup> <ub:mi mathvariant="normal">Ξ</ub:mi> <ub:mn>0</ub:mn> </ub:msup> <ub:msup> <ub:mi>μ</ub:mi> <ub:mo>+</ub:mo> </ub:msup> <ub:msub> <ub:mi>ν</ub:mi> <ub:mi>μ</ub:mi> </ub:msub> <ub:mo stretchy="false">)</ub:mo> <ub:mo>=</ub:mo> <ub:mo stretchy="false">(</ub:mo> <ub:mn>10.8</ub:mn> <ub:mo>±</ub:mo> <ub:mn>3.13</ub:mn> <ub:mo stretchy="false">)</ub:mo> <ub:mo>%</ub:mo> </ub:math> . These results are in good agreement with recent lattice QCD calculations, while being larger than the current experimental measurements and differing from the predictions of other theoretical approaches.