The pion mass and decay constant at three loops in two-flavour chiral perturbation theory
Abstract A calculation of the pion mass and decay constant at NNNLO in two-flavour chiral perturbation theory is presented. The results are cross-checked by using both the exponential and square root parametrizations of the Goldstone matrix field, as well as by comparing to the known leading log coe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2017)181 |
| _version_ | 1818158872030871552 |
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| author | Johan Bijnens Nils Hermansson Truedsson |
| author_facet | Johan Bijnens Nils Hermansson Truedsson |
| author_sort | Johan Bijnens |
| collection | DOAJ |
| description | Abstract A calculation of the pion mass and decay constant at NNNLO in two-flavour chiral perturbation theory is presented. The results are cross-checked by using both the exponential and square root parametrizations of the Goldstone matrix field, as well as by comparing to the known leading log coefficients of the two quantities. A small numerical study of the quark mass dependence is performed, and for a physical quark mass there is good agreement with lower order results. |
| first_indexed | 2024-12-11T15:36:59Z |
| format | Article |
| id | doaj.art-ad2f0086cc0e4a59869747a1b81dba93 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T15:36:59Z |
| publishDate | 2017-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ad2f0086cc0e4a59869747a1b81dba932022-12-22T00:59:54ZengSpringerOpenJournal of High Energy Physics1029-84792017-11-0120171111710.1007/JHEP11(2017)181The pion mass and decay constant at three loops in two-flavour chiral perturbation theoryJohan Bijnens0Nils Hermansson Truedsson1Department of Astronomy and Theoretical Physics, Lund UniversityDepartment of Astronomy and Theoretical Physics, Lund UniversityAbstract A calculation of the pion mass and decay constant at NNNLO in two-flavour chiral perturbation theory is presented. The results are cross-checked by using both the exponential and square root parametrizations of the Goldstone matrix field, as well as by comparing to the known leading log coefficients of the two quantities. A small numerical study of the quark mass dependence is performed, and for a physical quark mass there is good agreement with lower order results.http://link.springer.com/article/10.1007/JHEP11(2017)181Chiral LagrangiansEffective Field Theories |
| spellingShingle | Johan Bijnens Nils Hermansson Truedsson The pion mass and decay constant at three loops in two-flavour chiral perturbation theory Journal of High Energy Physics Chiral Lagrangians Effective Field Theories |
| title | The pion mass and decay constant at three loops in two-flavour chiral perturbation theory |
| title_full | The pion mass and decay constant at three loops in two-flavour chiral perturbation theory |
| title_fullStr | The pion mass and decay constant at three loops in two-flavour chiral perturbation theory |
| title_full_unstemmed | The pion mass and decay constant at three loops in two-flavour chiral perturbation theory |
| title_short | The pion mass and decay constant at three loops in two-flavour chiral perturbation theory |
| title_sort | pion mass and decay constant at three loops in two flavour chiral perturbation theory |
| topic | Chiral Lagrangians Effective Field Theories |
| url | http://link.springer.com/article/10.1007/JHEP11(2017)181 |
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