Investigation of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi mathvariant="normal">Λ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>b</mml:mi> </mml:mrow> </mml:msub> <mml:mo stretchy="f
We investigate the semileptonic decays <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mrow> <a:msub> <a:mrow> <a:mi mathvariant="normal">Λ</a:mi> </a:mrow> <a:mrow> <a:mi>b</a:mi> </a:mrow> </a:msub> <a:mo stretchy="false">→</a:mo> <a:msub> <a:mrow> <a:mi mathvariant="normal">Λ</a:mi> </a:mrow> <a:mrow> <a:mi>c</a:mi> </a:mrow> </a:msub> <a:msup> <a:mrow> <a:mo>ℓ</a:mo> </a:mrow> <a:mrow> <a:mo>−</a:mo> </a:mrow> </a:msup> <a:msub> <a:mrow> <a:mover accent="true"> <a:mrow> <a:mi>ν</a:mi> </a:mrow> <a:mrow> <a:mo stretchy="false">¯</a:mo> </a:mrow> </a:mover> </a:mrow> <a:mrow> <a:mo>ℓ</a:mo> </a:mrow> </a:msub> </a:mrow> </a:math> (with <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"> <h:mo>ℓ</h:mo> <h:mo>=</h:mo> <h:mi>e</h:mi> </h:math> , <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"> <j:mrow> <j:mi>μ</j:mi> </j:mrow> </j:math> , <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"> <l:mrow> <l:mi>τ</l:mi> </l:mrow> </l:math> ) within the framework of perturbative QCD. The six independent <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"> <n:msub> <n:mi mathvariant="normal">Λ</n:mi> <n:mi>b</n:mi> </n:msub> <n:mo stretchy="false">→</n:mo> <n:msub> <n:mi mathvariant="normal">Λ</n:mi> <n:mi>c</n:mi> </n:msub> </n:math> transition form factors are first calculated in the low- <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"> <s:msup> <s:mi>q</s:mi> <s:mn>2</s:mn> </s:msup> </s:math> region using the <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"> <u:msub> <u:mi>k</u:mi> <u:mi>T</u:mi> </u:msub> </u:math> factorization approach. These are then extrapolated to the full physical <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"> <w:msup> <w:mi>q</w:mi> <w:mn>2</w:mn> </w:msup> </w:math> range via the model-independent <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"> <y:mi>z</y:mi> </y:math> expansion, incorporating recent lattice QCD results at high <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"> <ab:msup> <ab:mi>q</ab:mi> <ab:mn>2</ab:mn> </ab:msup> </ab:math> . Based on the obtained form factors, we compute the branching fractions of <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"> <cb:msub> <cb:mi mathvariant="normal">Λ</cb:mi> <cb:mi>b</cb:mi> </cb:msub> <cb:mo stretchy="false">→</cb:mo> <cb:msub> <cb:mi mathvariant="normal">Λ</cb:mi> <cb:mi>c</cb:mi> </cb:msub> <cb:msup> <cb:mo>ℓ</cb:mo> <cb:mo>−</cb:mo> </cb:msup> <cb:msub> <cb:mover accent="true"> <cb:mi>ν</cb:mi> <cb:mo stretchy="false">¯</cb:mo> </cb:mover> <cb:mo>ℓ</cb:mo> </cb:msub> </cb:math> decays. Our prediction for the lepton flavor universality ratio, <jb:math xmlns:jb="http://www.w3.org/1998/Math/MathML" display="inline"> <jb:mrow> <jb:msub> <jb:mrow> <jb:mi mathvariant="script">R</jb:mi> </jb:mrow> <jb:mrow> <jb:msub> <jb:mrow> <jb:mi mathvariant="normal">Λ</jb:mi> </jb:mrow> <jb:mrow> <jb:mi>c</jb:mi> </jb:mrow> </jb:msub> </jb:mrow> </jb:msub> <jb:mo>=</jb:mo> <jb:mn>0.2</jb:mn> <jb:msubsup> <jb:mrow> <jb:mn>9</jb:mn> </jb:mrow> <jb:mrow> <jb:mo>−</jb:mo> <jb:mn>0.11</jb:mn> </jb:mrow> <jb:mrow> <jb:mo>+</jb:mo> <jb:mn>0.12</jb:mn> </jb:mrow> </jb:msubsup> </jb:mrow> </jb:math> , is slightly larger than the latest experimental measurement. In addition, we analyze several angular observables, including forward-backward asymmetries, lepton-side convexity parameters, and polarization asymmetries. These results offer valuable theoretical input for current and future experimental investigations of semileptonic heavy-to-heavy baryon transitions.
Authors
- Y. Wang
- Jie Chen (ORCID: https://orcid.org/0000-0002-5929-7262)
- Zhi-Tian Zou (ORCID: https://orcid.org/0000-0002-6985-8174)
- Anonymous
Institutions
- Yantai University (CN)
- Central China Normal University (CN)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2026-01-02
- DOI
- https://doi.org/10.1103/8ztx-56ys
- Primary Topic
- Particle physics theoretical and experimental studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00