Constraints on low energy QCD parameters from $$\eta \rightarrow 3\pi $$ η→3π and $$\pi \pi $$ ππ scattering
Abstract The $$\eta \,\rightarrow \,3\pi $$ η→3π decays are a valuable source of information on low energy QCD. Yet they were not used for an extraction of the three flavor chiral symmetry breaking order parameters until now. We use a Bayesian approach in the framework of resummed chiral perturbatio...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-03-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5668-5 |
| _version_ | 1818524419836870656 |
|---|---|
| author | Marián Kolesár Jiří Novotný |
| author_facet | Marián Kolesár Jiří Novotný |
| author_sort | Marián Kolesár |
| collection | DOAJ |
| description | Abstract The $$\eta \,\rightarrow \,3\pi $$ η→3π decays are a valuable source of information on low energy QCD. Yet they were not used for an extraction of the three flavor chiral symmetry breaking order parameters until now. We use a Bayesian approach in the framework of resummed chiral perturbation theory to obtain constraints on the quark condensate and pseudoscalar decay constant in the chiral limit. We compare our results with recent CHPT and lattice QCD fits and find some tension, as the $$\eta \,\rightarrow \,3\pi $$ η→3π data seem to prefer a larger ratio of the chiral order parameters. The results also disfavor a very large value of the pseudoscalar decay constant in the chiral limit, which was found by some recent work. In addition, we present results of a combined analysis including $$\eta \,\rightarrow \,3\pi $$ η→3π decays and $$\pi \pi $$ ππ scattering and though the picture does not changed appreciably, we find some tension between the data we use. We also try to extract information on the mass difference of the light quarks, but the uncertainties prove to be large. |
| first_indexed | 2024-12-11T05:56:55Z |
| format | Article |
| id | doaj.art-04ca8b9a934f4b49804fcf4448f2ea48 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-11T05:56:55Z |
| publishDate | 2018-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-04ca8b9a934f4b49804fcf4448f2ea482022-12-22T01:18:38ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-03-0178311410.1140/epjc/s10052-018-5668-5Constraints on low energy QCD parameters from $$\eta \rightarrow 3\pi $$ η→3π and $$\pi \pi $$ ππ scatteringMarián Kolesár0Jiří Novotný1Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles UniversityInstitute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles UniversityAbstract The $$\eta \,\rightarrow \,3\pi $$ η→3π decays are a valuable source of information on low energy QCD. Yet they were not used for an extraction of the three flavor chiral symmetry breaking order parameters until now. We use a Bayesian approach in the framework of resummed chiral perturbation theory to obtain constraints on the quark condensate and pseudoscalar decay constant in the chiral limit. We compare our results with recent CHPT and lattice QCD fits and find some tension, as the $$\eta \,\rightarrow \,3\pi $$ η→3π data seem to prefer a larger ratio of the chiral order parameters. The results also disfavor a very large value of the pseudoscalar decay constant in the chiral limit, which was found by some recent work. In addition, we present results of a combined analysis including $$\eta \,\rightarrow \,3\pi $$ η→3π decays and $$\pi \pi $$ ππ scattering and though the picture does not changed appreciably, we find some tension between the data we use. We also try to extract information on the mass difference of the light quarks, but the uncertainties prove to be large.http://link.springer.com/article/10.1140/epjc/s10052-018-5668-5 |
| spellingShingle | Marián Kolesár Jiří Novotný Constraints on low energy QCD parameters from $$\eta \rightarrow 3\pi $$ η→3π and $$\pi \pi $$ ππ scattering European Physical Journal C: Particles and Fields |
| title | Constraints on low energy QCD parameters from $$\eta \rightarrow 3\pi $$ η→3π and $$\pi \pi $$ ππ scattering |
| title_full | Constraints on low energy QCD parameters from $$\eta \rightarrow 3\pi $$ η→3π and $$\pi \pi $$ ππ scattering |
| title_fullStr | Constraints on low energy QCD parameters from $$\eta \rightarrow 3\pi $$ η→3π and $$\pi \pi $$ ππ scattering |
| title_full_unstemmed | Constraints on low energy QCD parameters from $$\eta \rightarrow 3\pi $$ η→3π and $$\pi \pi $$ ππ scattering |
| title_short | Constraints on low energy QCD parameters from $$\eta \rightarrow 3\pi $$ η→3π and $$\pi \pi $$ ππ scattering |
| title_sort | constraints on low energy qcd parameters from eta rightarrow 3 pi η 3π and pi pi ππ scattering |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-5668-5 |
| work_keys_str_mv | AT mariankolesar constraintsonlowenergyqcdparametersfrometarightarrow3piē3pandpipippscattering AT jirinovotny constraintsonlowenergyqcdparametersfrometarightarrow3piē3pandpipippscattering |