$B\to X_c\ell\barν$ Decay as a Probe of Complex Conjugate Poles
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866918085588418560 |
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| author | Zhu, Jinglong Umeeda, Hiroyuki |
| author_facet | Zhu, Jinglong Umeeda, Hiroyuki |
| contents | In this work, nontrivial analytic structure of the quark propagator is discussed for $B$-meson inclusive decays. Attributed to invalidity of the standard Källén-Lehman spectral representation, complex conjugate poles alter the evaluation of decay rates, which lead to violation of quark-hadron duality. As phenomenological observables, widths in $B\to X_c\ell\barν$ decay as well as the lifetime of the $B_d^0$ meson are discussed. In the presence of the mentioned nonanalytical contributions, the possibility for resolving the $|V_{cb}|$ puzzle is addressed. It is demonstrated that there exists a parameter region, which explains $|V_{cb}|$ and $B_d^0$-meson lifetime simultaneously within 1$σ$ via the complex conjugate poles from a charm quark. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_06085 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $B\to X_c\ell\barν$ Decay as a Probe of Complex Conjugate Poles Zhu, Jinglong Umeeda, Hiroyuki High Energy Physics - Phenomenology High Energy Physics - Experiment In this work, nontrivial analytic structure of the quark propagator is discussed for $B$-meson inclusive decays. Attributed to invalidity of the standard Källén-Lehman spectral representation, complex conjugate poles alter the evaluation of decay rates, which lead to violation of quark-hadron duality. As phenomenological observables, widths in $B\to X_c\ell\barν$ decay as well as the lifetime of the $B_d^0$ meson are discussed. In the presence of the mentioned nonanalytical contributions, the possibility for resolving the $|V_{cb}|$ puzzle is addressed. It is demonstrated that there exists a parameter region, which explains $|V_{cb}|$ and $B_d^0$-meson lifetime simultaneously within 1$σ$ via the complex conjugate poles from a charm quark. |
| title | $B\to X_c\ell\barν$ Decay as a Probe of Complex Conjugate Poles |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2411.06085 |