HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913794001731584 |
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| author | Black, Matthew Lang, Martin Lenz, Alexander Wüthrich, Zachary |
| author_facet | Black, Matthew Lang, Martin Lenz, Alexander Wüthrich, Zachary |
| contents | Theory predictions of heavy-hadron lifetime ratios critically depend on precise determinations of the dimension-six spectator effects arising from the double insertion of the weak effective $|ΔB| = 1$ Hamiltonian. In the presence of beyond-standard-model (BSM) operators, the resulting $ΔB = 0$ Hamiltonian features additional four-quark operators whose matrix elements need to be determined using non-perturbative methods. We present for the first time results for the non-perturbative hadronic matrix elements of the four-quark operators relevant for the description of the meson lifetime ratio $τ\left(B^+\right) / τ\left(B_d\right)$, obtained using heavy-quark effective theory (HQET) sum rules with the full BSM effective Hamiltonian. In addition, we recompute and update the bag parameters for the Standard Model operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13270 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model Black, Matthew Lang, Martin Lenz, Alexander Wüthrich, Zachary High Energy Physics - Phenomenology Theory predictions of heavy-hadron lifetime ratios critically depend on precise determinations of the dimension-six spectator effects arising from the double insertion of the weak effective $|ΔB| = 1$ Hamiltonian. In the presence of beyond-standard-model (BSM) operators, the resulting $ΔB = 0$ Hamiltonian features additional four-quark operators whose matrix elements need to be determined using non-perturbative methods. We present for the first time results for the non-perturbative hadronic matrix elements of the four-quark operators relevant for the description of the meson lifetime ratio $τ\left(B^+\right) / τ\left(B_d\right)$, obtained using heavy-quark effective theory (HQET) sum rules with the full BSM effective Hamiltonian. In addition, we recompute and update the bag parameters for the Standard Model operators. |
| title | HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2412.13270 |