Quark-mass effects in gradient-flow observables through next-to-next-to-leading order in QCD
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| Format: | Preprint |
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2025
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| _version_ | 1866908731063664640 |
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| author | Harlander, Robert V. Mason, Robert H. |
| author_facet | Harlander, Robert V. Mason, Robert H. |
| contents | We provide results for the vacuum expectation values of the flowed action density, the quark condensate, and the quark kinetic operator in the gradient-flow formalism. We work in $N_\text{F}$-flavor QCD, keeping the heaviest quark massive and all others massless. The vacuum expectation values of these operators are calculated numerically through next-to-next-to-leading order QCD, providing important input for the extraction of fundamental QCD parameters from lattice calculations. While the focus is on charm- and bottom-quark mass effects, we provide the results in a form that is independent of the specific quark mass. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19613 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quark-mass effects in gradient-flow observables through next-to-next-to-leading order in QCD Harlander, Robert V. Mason, Robert H. High Energy Physics - Lattice High Energy Physics - Phenomenology We provide results for the vacuum expectation values of the flowed action density, the quark condensate, and the quark kinetic operator in the gradient-flow formalism. We work in $N_\text{F}$-flavor QCD, keeping the heaviest quark massive and all others massless. The vacuum expectation values of these operators are calculated numerically through next-to-next-to-leading order QCD, providing important input for the extraction of fundamental QCD parameters from lattice calculations. While the focus is on charm- and bottom-quark mass effects, we provide the results in a form that is independent of the specific quark mass. |
| title | Quark-mass effects in gradient-flow observables through next-to-next-to-leading order in QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2512.19613 |