Perturbative determination of $\mathcal{O}(am)$ improvement on the QCD running coupling
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918220200411136 |
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| author | Costa, Marios Gavriel, Demetrianos Panagopoulos, Haralambos Spanoudes, Gregoris |
| author_facet | Costa, Marios Gavriel, Demetrianos Panagopoulos, Haralambos Spanoudes, Gregoris |
| contents | We present the perturbative results of the discretization errors proportional to the quark mass ($\mathcal{O}(a m)$) on the QCD running coupling within lattice perturbation theory. Our analysis involves calculating the 2-loop renormalization factor $Z_g$ using improved lattice actions for the $SU(N_c)$ gauge group and $N_f$ multiplets of fermions with a finite quark mass. We employ the background field method to compute $Z_g$, by calculating quantum corrections on both the background and quantum gluon propagator, respecting the $\mathcal{O}(a)$ improvement. This allows us to evaluate the perturbative $\mathcal{O}(a m)$ lattice errors which affect the determination of the running coupling. Eliminating these $\mathcal{O}(a m)$ effects is crucial for the nonperturbative studies of precision determinations of the strong coupling constant using lattice field theory. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_00463 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perturbative determination of $\mathcal{O}(am)$ improvement on the QCD running coupling Costa, Marios Gavriel, Demetrianos Panagopoulos, Haralambos Spanoudes, Gregoris High Energy Physics - Lattice We present the perturbative results of the discretization errors proportional to the quark mass ($\mathcal{O}(a m)$) on the QCD running coupling within lattice perturbation theory. Our analysis involves calculating the 2-loop renormalization factor $Z_g$ using improved lattice actions for the $SU(N_c)$ gauge group and $N_f$ multiplets of fermions with a finite quark mass. We employ the background field method to compute $Z_g$, by calculating quantum corrections on both the background and quantum gluon propagator, respecting the $\mathcal{O}(a)$ improvement. This allows us to evaluate the perturbative $\mathcal{O}(a m)$ lattice errors which affect the determination of the running coupling. Eliminating these $\mathcal{O}(a m)$ effects is crucial for the nonperturbative studies of precision determinations of the strong coupling constant using lattice field theory. |
| title | Perturbative determination of $\mathcal{O}(am)$ improvement on the QCD running coupling |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2503.00463 |