Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ Nf=0 and $$N_f=2$$ Nf=2 QCD
Abstract Tensor currents are the only quark bilinear operators lacking a non-perturbative determination of their renormalisation group (RG) running between hadronic and electroweak scales. We develop the setup to carry out the computation in lattice QCD via standard recursive finite-size scaling tec...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6022-7 |
| _version_ | 1811288281819643904 |
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| author | C. Pena D. Preti |
| author_facet | C. Pena D. Preti |
| author_sort | C. Pena |
| collection | DOAJ |
| description | Abstract Tensor currents are the only quark bilinear operators lacking a non-perturbative determination of their renormalisation group (RG) running between hadronic and electroweak scales. We develop the setup to carry out the computation in lattice QCD via standard recursive finite-size scaling techniques, and provide results for the RG running of tensor currents in $$N_f=0$$ Nf=0 and $$N_f=2$$ Nf=2 QCD in the continuum for various Schrödinger Functional schemes. The matching factors between bare and renormalisation group invariant currents are also determined for a range of values of the lattice spacing relevant for large-volume simulations, thus enabling a fully non-perturbative renormalization of physical amplitudes mediated by tensor currents. |
| first_indexed | 2024-04-13T03:34:24Z |
| format | Article |
| id | doaj.art-f67f37ba03754bfeb24ab376e34e22fc |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-04-13T03:34:24Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-f67f37ba03754bfeb24ab376e34e22fc2022-12-22T03:04:23ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-07-0178712710.1140/epjc/s10052-018-6022-7Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ Nf=0 and $$N_f=2$$ Nf=2 QCDC. Pena0D. Preti1Departamento de Física Teórica, Universidad Autónoma de MadridInstituto de Física Teórica UAM-CSIC, Universidad Autónoma de MadridAbstract Tensor currents are the only quark bilinear operators lacking a non-perturbative determination of their renormalisation group (RG) running between hadronic and electroweak scales. We develop the setup to carry out the computation in lattice QCD via standard recursive finite-size scaling techniques, and provide results for the RG running of tensor currents in $$N_f=0$$ Nf=0 and $$N_f=2$$ Nf=2 QCD in the continuum for various Schrödinger Functional schemes. The matching factors between bare and renormalisation group invariant currents are also determined for a range of values of the lattice spacing relevant for large-volume simulations, thus enabling a fully non-perturbative renormalization of physical amplitudes mediated by tensor currents.http://link.springer.com/article/10.1140/epjc/s10052-018-6022-7 |
| spellingShingle | C. Pena D. Preti Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ Nf=0 and $$N_f=2$$ Nf=2 QCD European Physical Journal C: Particles and Fields |
| title | Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ Nf=0 and $$N_f=2$$ Nf=2 QCD |
| title_full | Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ Nf=0 and $$N_f=2$$ Nf=2 QCD |
| title_fullStr | Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ Nf=0 and $$N_f=2$$ Nf=2 QCD |
| title_full_unstemmed | Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ Nf=0 and $$N_f=2$$ Nf=2 QCD |
| title_short | Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ Nf=0 and $$N_f=2$$ Nf=2 QCD |
| title_sort | non perturbative renormalization of tensor currents strategy and results for n f 0 nf 0 and n f 2 nf 2 qcd |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-6022-7 |
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