Bag Parameters for Heavy Meson Lifetimes
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arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912988868378624 |
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| author | Black, Matthew Harlander, Robert V. Kohnen, Jonas T. Lange, Fabian Rago, Antonio Shindler, Andrea Witzel, Oliver |
| author_facet | Black, Matthew Harlander, Robert V. Kohnen, Jonas T. Lange, Fabian Rago, Antonio Shindler, Andrea Witzel, Oliver |
| contents | We calculate the dimension-six $ΔQ=0$ four-quark matrix elements describing heavy-meson lifetime ratios using the gradient flow with its short flow-time expansion as a renormalization procedure. On six RBC/UKQCD 2+1-flavor domain-wall fermion ensembles, we determine flowed bag parameters for physical charm and strange quarks and match to the $\overline{\text{MS}}$ scheme with perturbative short flow-time expansion coefficients through next-to-next-to-leading order (NNLO). A multi-scale matching procedure using renormalization-group running improves the extrapolation to zero flow time. For the operators relevant to $τ(D_s)/τ(D^0)$ at the SU(3)$_{\rm F}$ symmetric point, we obtain $B_1^{\overline{\text{MS}}}(3\,{\rm GeV})=1.0524(97)$,$B_2^{\overline{\text{MS}}}(3\,{\rm GeV})=0.9621(70)$, $ε_1^{\overline{\text{MS}}}(3\,{\rm GeV})=-0.2275(76)$, and $ε_2^{\overline{\text{MS}}}(3\,{\rm GeV})=-0.0005(8)$ using a specific choice of evanescent operators. This is the first lattice-QCD determination of $ΔQ=0$ four-quark operators with a full error budget. It opens the path towards higher-precision predictions of heavy-meson lifetimes and similar quantities exhibiting operator mixing under renormalization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28516 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bag Parameters for Heavy Meson Lifetimes Black, Matthew Harlander, Robert V. Kohnen, Jonas T. Lange, Fabian Rago, Antonio Shindler, Andrea Witzel, Oliver High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice We calculate the dimension-six $ΔQ=0$ four-quark matrix elements describing heavy-meson lifetime ratios using the gradient flow with its short flow-time expansion as a renormalization procedure. On six RBC/UKQCD 2+1-flavor domain-wall fermion ensembles, we determine flowed bag parameters for physical charm and strange quarks and match to the $\overline{\text{MS}}$ scheme with perturbative short flow-time expansion coefficients through next-to-next-to-leading order (NNLO). A multi-scale matching procedure using renormalization-group running improves the extrapolation to zero flow time. For the operators relevant to $τ(D_s)/τ(D^0)$ at the SU(3)$_{\rm F}$ symmetric point, we obtain $B_1^{\overline{\text{MS}}}(3\,{\rm GeV})=1.0524(97)$,$B_2^{\overline{\text{MS}}}(3\,{\rm GeV})=0.9621(70)$, $ε_1^{\overline{\text{MS}}}(3\,{\rm GeV})=-0.2275(76)$, and $ε_2^{\overline{\text{MS}}}(3\,{\rm GeV})=-0.0005(8)$ using a specific choice of evanescent operators. This is the first lattice-QCD determination of $ΔQ=0$ four-quark operators with a full error budget. It opens the path towards higher-precision predictions of heavy-meson lifetimes and similar quantities exhibiting operator mixing under renormalization. |
| title | Bag Parameters for Heavy Meson Lifetimes |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2603.28516 |