$Λ_b \rightarrow Λ_c^{\ast}$ at $1\,/\,m_c^2$ heavy quark order
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910398479859712 |
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| author | Di Risi, Vigilante Iacobacci, Davide Sannino, Francesco |
| author_facet | Di Risi, Vigilante Iacobacci, Davide Sannino, Francesco |
| contents | We systematically compute the $Λ_b(p, s_b) \to Λ_c(2595)^+$ and $Λ_b(p, s_b) \to Λ_c(2625)^+$ form factors within the Heavy Quark Effective Theory (HQET) framework including $\mathcal{O}(1/m_c^2)$. Besides taking into account the Standard Model-like vector and axial contributions, we further determine tensor and pseudo-tensor form factors. Our work constitutes a step forward with respect to previous analyses allowing for a comprehensive study of the matrix element parametrisation stemming from the HQET formalism. Finally, we demonstrate that the resulting form factors agree well with lattice Quantum Chromodynamics (LQCD) determinations stressing the need and relevance of the newly derived $1/m_c^2$ corrections. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_03553 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $Λ_b \rightarrow Λ_c^{\ast}$ at $1\,/\,m_c^2$ heavy quark order Di Risi, Vigilante Iacobacci, Davide Sannino, Francesco High Energy Physics - Phenomenology High Energy Physics - Lattice We systematically compute the $Λ_b(p, s_b) \to Λ_c(2595)^+$ and $Λ_b(p, s_b) \to Λ_c(2625)^+$ form factors within the Heavy Quark Effective Theory (HQET) framework including $\mathcal{O}(1/m_c^2)$. Besides taking into account the Standard Model-like vector and axial contributions, we further determine tensor and pseudo-tensor form factors. Our work constitutes a step forward with respect to previous analyses allowing for a comprehensive study of the matrix element parametrisation stemming from the HQET formalism. Finally, we demonstrate that the resulting form factors agree well with lattice Quantum Chromodynamics (LQCD) determinations stressing the need and relevance of the newly derived $1/m_c^2$ corrections. |
| title | $Λ_b \rightarrow Λ_c^{\ast}$ at $1\,/\,m_c^2$ heavy quark order |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2309.03553 |