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arXiv 2603.28516hep-phhep-exhep-lat
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重子参数用于重子寿命

Bag Parameters for Heavy Meson Lifetimes from a Lattice QCD Calculation at the SU(3)$_{\rm F}$-symmetric Point

University of Edinburgh(爱丁堡大学);Universität Siegen(锡根大学);RWTH Aachen University(亚琛工业大学);Universität Zürich(苏黎世大学);PSI Center for Neutron and Muon Sciences(瑞士保罗谢勒研究所中子与μ子科学中心);University of Southern Denmark(南丹麦大学);Lawrence Berkeley National Laboratory(劳伦斯伯克利国家实验室);University of California, Berkeley(加州大学伯克利分校)

Matthew Black, Robert V. Harlander, Jonas T. Kohnen, Fabian Lange, Antonio Rago, Andrea Shindler, Oliver Witzel

AI总结:

本文通过梯度流和短流时展开计算重子寿命比的六维四夸克矩阵元,确定流参数并匹配到MS方案,首次确定了ΔQ=0四夸克算符的完整误差预算。

摘要:

我们利用梯度流及其短流时展开作为重整化程序,计算描述重子寿命比的六维四夸克矩阵元。在六个RBC/UKQCD 2+1味域墙费米子集合上,我们确定了物理charm和strange夸克的流参数,并通过次次leading order(NNLO)的perturbative短流时展开系数匹配到MS方案。使用重整化群运行的多尺度匹配程序改进了零流时的外推。对于相关于SU(3)_F对称点的τ(D_s)/τ(D^0)算符,我们得到B_1^{MS}(3 GeV)=1.0524(97),B_2^{MS}(3 GeV)=0.9621(70),ε_1^{MS}(3 GeV)=-0.2275(76),和ε_2^{MS}(3 GeV)=-0.0005(8)。这是首次利用格点QCD确定ΔQ=0四夸克算符的完整误差预算。这为重子寿命和类似量的更高精度预测打开了道路,这些量在重整化下表现出算符混合。

英文摘要:

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 multiscale 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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