Absorbing discretisation effects with a massive renormalization scheme: the charm-quark mass
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916337278779392 |
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| author | Del Debbio, Luigi Erben, Felix Flynn, Jonathan M. Mukherjee, Rajnandini Tsang, J. Tobias |
| author_facet | Del Debbio, Luigi Erben, Felix Flynn, Jonathan M. Mukherjee, Rajnandini Tsang, J. Tobias |
| contents | We present the first numerical implementation of the massive SMOM (mSMOM) renormalization scheme and use it to calculate the charm quark mass. Based on ensembles with three flavours of dynamical domain wall fermions with lattice spacings in the range 0.11 -- 0.08 fm, we demonstrate that the mass scale which defines the mSMOM scheme can be chosen such that the extrapolation has significantly smaller discretisation effects than the SMOM scheme. Converting our results to the $\overline{\mathrm{MS}}$ scheme we obtain $\overline{m}_c(3\,\mathrm{GeV}) = 1.008(13)\,\mathrm{GeV}$ and $\overline{m}_c(\overline{m}_c) = 1.292(12)\,\mathrm{GeV}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18700 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Absorbing discretisation effects with a massive renormalization scheme: the charm-quark mass Del Debbio, Luigi Erben, Felix Flynn, Jonathan M. Mukherjee, Rajnandini Tsang, J. Tobias High Energy Physics - Lattice High Energy Physics - Phenomenology We present the first numerical implementation of the massive SMOM (mSMOM) renormalization scheme and use it to calculate the charm quark mass. Based on ensembles with three flavours of dynamical domain wall fermions with lattice spacings in the range 0.11 -- 0.08 fm, we demonstrate that the mass scale which defines the mSMOM scheme can be chosen such that the extrapolation has significantly smaller discretisation effects than the SMOM scheme. Converting our results to the $\overline{\mathrm{MS}}$ scheme we obtain $\overline{m}_c(3\,\mathrm{GeV}) = 1.008(13)\,\mathrm{GeV}$ and $\overline{m}_c(\overline{m}_c) = 1.292(12)\,\mathrm{GeV}$. |
| title | Absorbing discretisation effects with a massive renormalization scheme: the charm-quark mass |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.18700 |