Short-flow-time expansion of quark bilinears through next-to-next-to-leading order QCD
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866915002029441024 |
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| author | Borgulat, Janosch Harlander, Robert V. Kohnen, Jonas T. Lange, Fabian |
| author_facet | Borgulat, Janosch Harlander, Robert V. Kohnen, Jonas T. Lange, Fabian |
| contents | The gradient-flow formalism proves to be a useful tool in lattice calculations of quantum chromodynamics. For example, it can be used as a scheme to renormalize composite operators by inverting the short-flow-time expansion of the corresponding flowed operators. In this paper, we consider the short-flow-time expansion of five quark bilinear operators, the scalar, pseudoscalar, vector, axialvector, and tensor currents, and compute the matching coefficients through next-to-next-to-leading order QCD. Among other applications, our results constitute one ingredient for calculating bag parameters of mesons within the gradient-flow formalism on the lattice. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2311_16799 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Short-flow-time expansion of quark bilinears through next-to-next-to-leading order QCD Borgulat, Janosch Harlander, Robert V. Kohnen, Jonas T. Lange, Fabian High Energy Physics - Lattice High Energy Physics - Phenomenology The gradient-flow formalism proves to be a useful tool in lattice calculations of quantum chromodynamics. For example, it can be used as a scheme to renormalize composite operators by inverting the short-flow-time expansion of the corresponding flowed operators. In this paper, we consider the short-flow-time expansion of five quark bilinear operators, the scalar, pseudoscalar, vector, axialvector, and tensor currents, and compute the matching coefficients through next-to-next-to-leading order QCD. Among other applications, our results constitute one ingredient for calculating bag parameters of mesons within the gradient-flow formalism on the lattice. |
| title | Short-flow-time expansion of quark bilinears through next-to-next-to-leading order QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2311.16799 |