تقرير
Mesonic decay constant and mass ratios and the conformal window
| العنوان: | Mesonic decay constant and mass ratios and the conformal window |
|---|---|
| المؤلفون: | Chung, Hee Sok, Nogradi, Daniel |
| سنة النشر: | 2023 |
| المجموعة: | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| مصطلحات موضوعية: | High Energy Physics - Lattice, High Energy Physics - Phenomenology |
| الوصف: | Two particular ratios related to mesons are proposed for the study of the conformal window in $SU(3)$ gauge theory and fundamental fermions. Lattice and other studies indicate that the lower end, $N_f^*$, is at around 7 - 13 flavors which is a wide range without a clear consensus. Here we propose the decay constant to mass ratios of mesons, $f_{PS,V} / m_V$, as a proxy since below the conformal window lattice studies have shown that they are largely $N_f$-independent while at the upper end of the conformal window they are vanishing. The drop from the non-zero constant value to zero at $N_f = 16.5$ might be indicative of $N_f^*$. We compute $f_V / m_V$ to N$^3$LO and $f_{PS} / m_V$ to NNLO order in (p)NRQCD. The results are unambiguously reliable just below $N_f = 16.5$, hence the results are expanded \'a la Banks-Zaks in $\varepsilon = 16.5 - N_f$. The convergence properties of the series and matching with the non-perturbative infinite volume, continuum and chiral extrapolated lattice results at $N_f = 10$ suggest that the perturbative results might be reliable down to $N_f = 12$. A sudden drop is observed at $N_f = 12$ and $N_f = 13$ in $f_V / m_V$ and $f_{PS} / m_V$, respectively. Comment: The 40th International Symposium on Lattice Field Theory (Lattice 2023), July 31st - August 4th, 2023, Fermi National Accelerator Laboratory |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.08668 |
| رقم الأكسشن: | edsarx.2311.08668 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |