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| Main Authors: | , , , , , , , , , , |
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| Format: | Preprint |
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2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.09880 |
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| _version_ | 1866915904852328448 |
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| author | Bonanno, Claudio Colangelo, Gilberto D'Angelo, Francesco D'Elia, Massimo Dionisio, Roberto Frezzotti, Roberto Gagliardi, Giuseppe Lubicz, Vittorio Martinelli, Guido Sanfilippo, Francesco Simula, Silvano |
| author_facet | Bonanno, Claudio Colangelo, Gilberto D'Angelo, Francesco D'Elia, Massimo Dionisio, Roberto Frezzotti, Roberto Gagliardi, Giuseppe Lubicz, Vittorio Martinelli, Guido Sanfilippo, Francesco Simula, Silvano |
| contents | We provide a non-perturbative determination of the scheme- and scale-independent low-energy constant $\ell_{\scriptscriptstyle{7}}$, appearing in the QCD effective chiral Lagrangian at next-to-leading order, by means of lattice QCD simulations with $N_{\scriptscriptstyle{\rm f}}=2+1$ quark flavors. We adopt staggered fermions and extract $\ell_{\scriptscriptstyle{7}}$ from the pion mass splitting by suitably generalizing the method introduced in [Phys. Rev. D 104 (2021) 074513] for the Wilson discretization. Adopting 12 gauge ensembles with 3 different values of the pion mass, and 4 different values of the lattice spacing, we are able to achieve controlled extrapolations towards the continuum, infinite volume, and chiral limits. Our final result $\ell_{\scriptscriptstyle{7}} \,\times \, 10^3 = 2.79(58)_{\scriptscriptstyle{\rm stat}}(19)_{\scriptscriptstyle{\rm syst}} = 2.79(61)_{\scriptscriptstyle{\rm tot}}$ agrees with and substantially improves on previous determinations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09880 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lattice determination of the QCD low-energy constant $\ell_{\scriptscriptstyle{7}}$ Bonanno, Claudio Colangelo, Gilberto D'Angelo, Francesco D'Elia, Massimo Dionisio, Roberto Frezzotti, Roberto Gagliardi, Giuseppe Lubicz, Vittorio Martinelli, Guido Sanfilippo, Francesco Simula, Silvano High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory We provide a non-perturbative determination of the scheme- and scale-independent low-energy constant $\ell_{\scriptscriptstyle{7}}$, appearing in the QCD effective chiral Lagrangian at next-to-leading order, by means of lattice QCD simulations with $N_{\scriptscriptstyle{\rm f}}=2+1$ quark flavors. We adopt staggered fermions and extract $\ell_{\scriptscriptstyle{7}}$ from the pion mass splitting by suitably generalizing the method introduced in [Phys. Rev. D 104 (2021) 074513] for the Wilson discretization. Adopting 12 gauge ensembles with 3 different values of the pion mass, and 4 different values of the lattice spacing, we are able to achieve controlled extrapolations towards the continuum, infinite volume, and chiral limits. Our final result $\ell_{\scriptscriptstyle{7}} \,\times \, 10^3 = 2.79(58)_{\scriptscriptstyle{\rm stat}}(19)_{\scriptscriptstyle{\rm syst}} = 2.79(61)_{\scriptscriptstyle{\rm tot}}$ agrees with and substantially improves on previous determinations. |
| title | Lattice determination of the QCD low-energy constant $\ell_{\scriptscriptstyle{7}}$ |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.09880 |