Renormalons and multiloop estimates in scalar correlators, Higgs decay and quark-mass sum rules
| dc.creator | Broadhurst, D. J. | |
| dc.creator | Kataev, A. L. | |
| dc.creator | Maxwell, C. J. | |
| dc.date | 2000-07-14 | |
| dc.date | 2000-10-25 | |
| dc.date.accessioned | 2026-07-07T10:32:41Z | |
| dc.date.available | 2026-07-07T10:32:41Z | |
| dc.description | The single renormalon-chain contribution to the correlator of scalar currents in QCD is calculated in the $\bar{MS}$-scheme in the limit of a large $N_f$. We find that in the factorial growth of the coefficients due to renormalons takes over almost immediatelly in the euclidean region. The essential differences between the large-order growth of coefficients in the scalar case, and in the vector case are analysed. In the timelike region a stabilization of the perturbative series for the imaginary part, with $n$-loop behaviour $S_n/[\log(s/Λ^2)]^{n-1}$, where $S_n$ is essential constant for $n\le{6}$, is observed. Only for $n\ge{7}$ does one discern the factorial growth and alternations of sign. Out all-order results are used to scrutinize the performance of multiloop estimates, within the ``naive nonabelianization'' procedure, and the effective charges approach. The asymtotic behaviour of perturbative coefficients, in both large $N_f$ and large $N_c$ limits, is analysed. A contour-improved resummation technique in the time-like region is developed. Some subtleties of scheme-dependence are illustrated using results in the $\bar{MS}$ and $V$-schemes. The all-order series under investigation are summed up with the help of the Borel resummation method. The results obtained are relevant to the analysis of the theoretical uncertainties in the 4-loop extractions of the running and invariant $s$-quark masses from QCD sum rules, and in calculations of the Higgs boson decay width into a quark-antiquark pair. | |
| dc.description | LaTeX, 48 pages, Note added in Proofs added, some additional referencies made; to appear in Nucl. Phys. B | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0007152 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0007152 | |
| dc.identifier | Nucl.Phys.B592:247-293,2001 | |
| dc.identifier | doi:10.1016/S0550-3213(00)00575-7 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/178838 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Renormalons and multiloop estimates in scalar correlators, Higgs decay and quark-mass sum rules | |
| dc.type | text |