Semileptonic decay of double strangeness heavy flavor baryons

This paper investigates the double strangeness heavy flavor baryons <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msubsup><a:mi mathvariant="normal">Ω</a:mi><a:mi>c</a:mi><a:mn>0</a:mn></a:msubsup></a:math> and <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:msubsup><d:mi mathvariant="normal">Ω</d:mi><d:mi>b</d:mi><d:mo>−</d:mo></d:msubsup></d:math>, which contain two strange quarks. Using QCD light-cone sum rules (LCSRs), we calculate the form factors for the Cabibbo-suppressed processes <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msubsup><g:mi mathvariant="normal">Ω</g:mi><g:mi>c</g:mi><g:mn>0</g:mn></g:msubsup><g:mo stretchy="false">→</g:mo><g:msup><g:mi mathvariant="normal">Ξ</g:mi><g:mo>−</g:mo></g:msup></g:math> and <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"><l:msubsup><l:mi mathvariant="normal">Ω</l:mi><l:mi>b</l:mi><l:mo>−</l:mo></l:msubsup><l:mo stretchy="false">→</l:mo><l:msup><l:mi mathvariant="normal">Ξ</l:mi><l:mn>0</l:mn></l:msup></l:math>, corresponding to the heavy quark transitions <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:mi>c</q:mi><q:mo stretchy="false">→</q:mo><q:mi>d</q:mi></q:math> and <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"><t:mi>b</t:mi><t:mo stretchy="false">→</t:mo><t:mi>u</t:mi></t:math>, respectively. Combining these with the helicity amplitude formalism for semileptonic decay differential widths, we computed the branching fractions of their corresponding semileptonic decay processes. Our analysis reveals significant discrepancies between two versions of QCD LCSRs: one using the light-cone distribution amplitudes (LCDAs) of the final-state <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:mi mathvariant="normal">Ξ</w:mi></w:math> baryon and the other using the LCDAs of the initial-state double strangeness heavy flavor baryons. The results obtained with the <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" display="inline"><z:mi mathvariant="normal">Ξ</z:mi></z:math> baryon’s LCDAs show excellent agreement with other theoretical calculations. However, when using the LCDAs of the double strangeness heavy flavor baryons, the results differ by orders of magnitude, warranting further investigation.