Speaker
Description
We propose a new and simple method for determining the renormalized quark masses from lattice simulations. Renormalized quark masses are an important input to many phenomenological applications, including searching/modeling physics beyond the Standard Model. The non-perturbative renormalization is performed using gradient flow combined with the short-flow-time expansion that is improved by renormalization group (RG) running to match to the $\overline{\text{MS}}$-scheme. RG running connects the lattice scale to higher energies thus improving the$\overline{\text{MS}}$-scheme matching. Implementing the RG running perturbatively, we demonstrate this method works reliably at least up to the charm-quark mass and is not exhibiting any signs of the usual "window problem".
Using RBC/UKQCD's (2+1)-flavor Shamir domain-wall fermion ensembles with Iwasaki gauge action, we find $m_s^{\overline{\text{MS}}}(\mu=2\text{ GeV}) = 89.1(3.2)$ MeV and $m_c^{\overline{\text{MS}}}(\mu=3 \text{ GeV}) = 973.4(8.3)$ MeV. These results predict the scale-independent ratio $m_c/m_s= 12.1(4)$.
Generalization to other observables is possible, providing an efficient approach to determine non-perturbatively renormalized fermionic observables like form factors or bag parameters from lattice simulations.
| Parallel Session (for talks only) | Quark and lepton flavor physics |
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