Heavy Wilson quarks and O(a) improvement: nonperturbative results for b g
Abstract With Wilson quarks, on-shell O(a) improvement of the lattice QCD action is achieved by including the Sheikholeslami-Wohlert term and two further operators of mass dimension 5, which amount to a mass-dependent rescaling of the bare parameters. We here focus on the rescaled bare coupling, g ~...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2024)188 |
| _version_ | 1797276153407340544 |
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| author | Mattia Dalla Brida Roman Höllwieser Francesco Knechtli Tomasz Korzec Stefan Sint Rainer Sommer |
| author_facet | Mattia Dalla Brida Roman Höllwieser Francesco Knechtli Tomasz Korzec Stefan Sint Rainer Sommer |
| author_sort | Mattia Dalla Brida |
| collection | DOAJ |
| description | Abstract With Wilson quarks, on-shell O(a) improvement of the lattice QCD action is achieved by including the Sheikholeslami-Wohlert term and two further operators of mass dimension 5, which amount to a mass-dependent rescaling of the bare parameters. We here focus on the rescaled bare coupling, g ~ 0 2 = g 0 2 1 + b g a m q $$ {\tilde{g}}_0^2={g}_0^2\left(1+{b}_{\textrm{g}}a{m}_{\textrm{q}}\right) $$ , and the determination of b g g 0 2 $$ {b}_{\textrm{g}}\left({g}_0^2\right) $$ which is currently only known to 1-loop order of perturbation theory. We derive suitable improvement conditions in the chiral limit and in a finite space-time volume and evaluate these for different gluonic observables, both with and without the gradient flow. The choice of β-values and the line of constant physics are motivated by the ALPHA collaboration’s decoupling strategy to determine α s (m Z ) [1]. However, the improvement conditions and some insight into systematic effects may prove useful in other contexts, too. |
| first_indexed | 2024-03-07T15:24:14Z |
| format | Article |
| id | doaj.art-c76a25375cdd4d6eacfa94e69f4da4e4 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-07T15:24:14Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c76a25375cdd4d6eacfa94e69f4da4e42024-03-05T17:27:00ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024112610.1007/JHEP01(2024)188Heavy Wilson quarks and O(a) improvement: nonperturbative results for b gMattia Dalla Brida0Roman Höllwieser1Francesco Knechtli2Tomasz Korzec3Stefan Sint4Rainer Sommer5Theoretical Physics Department, CERNDepartment of Physics, University of WuppertalDepartment of Physics, University of WuppertalDepartment of Physics, University of WuppertalSchool of Mathematics and Hamilton Mathematics Institute, Trinity College DublinDeutsches Elektronen-Synchrotron DESYAbstract With Wilson quarks, on-shell O(a) improvement of the lattice QCD action is achieved by including the Sheikholeslami-Wohlert term and two further operators of mass dimension 5, which amount to a mass-dependent rescaling of the bare parameters. We here focus on the rescaled bare coupling, g ~ 0 2 = g 0 2 1 + b g a m q $$ {\tilde{g}}_0^2={g}_0^2\left(1+{b}_{\textrm{g}}a{m}_{\textrm{q}}\right) $$ , and the determination of b g g 0 2 $$ {b}_{\textrm{g}}\left({g}_0^2\right) $$ which is currently only known to 1-loop order of perturbation theory. We derive suitable improvement conditions in the chiral limit and in a finite space-time volume and evaluate these for different gluonic observables, both with and without the gradient flow. The choice of β-values and the line of constant physics are motivated by the ALPHA collaboration’s decoupling strategy to determine α s (m Z ) [1]. However, the improvement conditions and some insight into systematic effects may prove useful in other contexts, too.https://doi.org/10.1007/JHEP01(2024)188Algorithms and Theoretical DevelopmentsLattice QCDNon-Perturbative RenormalizationStandard Model Parameters |
| spellingShingle | Mattia Dalla Brida Roman Höllwieser Francesco Knechtli Tomasz Korzec Stefan Sint Rainer Sommer Heavy Wilson quarks and O(a) improvement: nonperturbative results for b g Journal of High Energy Physics Algorithms and Theoretical Developments Lattice QCD Non-Perturbative Renormalization Standard Model Parameters |
| title | Heavy Wilson quarks and O(a) improvement: nonperturbative results for b g |
| title_full | Heavy Wilson quarks and O(a) improvement: nonperturbative results for b g |
| title_fullStr | Heavy Wilson quarks and O(a) improvement: nonperturbative results for b g |
| title_full_unstemmed | Heavy Wilson quarks and O(a) improvement: nonperturbative results for b g |
| title_short | Heavy Wilson quarks and O(a) improvement: nonperturbative results for b g |
| title_sort | heavy wilson quarks and o a improvement nonperturbative results for b g |
| topic | Algorithms and Theoretical Developments Lattice QCD Non-Perturbative Renormalization Standard Model Parameters |
| url | https://doi.org/10.1007/JHEP01(2024)188 |
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