Scale-invariant total decay width $\Gamma(H\to b\bar{b})$ using the novel method of characteristic operator
| Autor: | Yan, Jiang, Wu, Xing-Gang, Shen, Jian-Ming, Huang, Xu-Dong, Wu, Zhi-Fei |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we propose a novel method of using the characteristic operator (CO) ${\cal \hat{D}}_{n_{\gamma},n_{\beta}}$ to formalize the principle of maximum conformality (PMC) procedures. Using the CO formulism, we are able to facilitate the derivation of complex scenarios within a structured theoretical framework, leading to simpler procedures and more compact expressions. Using the CO formulism, together with the renormalization group equation of $\alpha_s$ and/or the quark-mass anomalous dimension, we reproduce all previous formulas, moreover, we are able to achieve a scheme-and-scale invariant perturbative quantum chromodynamics (pQCD) series by fixing correct effective magnitude of $\alpha_s$ and the running mass simultaneously. Both of them are then matched well with the expansion coefficients of the series, leading to the wanted scheme-and-scale invariant conformal series. Comment: 23 pages, 4 figures |
| Databáze: | arXiv |
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