Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · hep-ph/9602406

Remarks on the Upper Bounds on the Higgs Boson Mass from Triviality

Jae Sik Lee·Jae Kwan Kim
View original source ↗Read source document ↗Export metadata ↓

Abstract

We study the effects of the one-loop matching conditions on Higgs boson and top quark masses on the triviality bounds on the Higgs boson mass using $β_λ$ with corrected two-loop coefficients. We obtain quite higher results than previous ones and observe that the triviality bounds are not nearly influenced by varying top quark mass over the range measured at CDF and D0. The effects of typo errors in $β_λ^{(2)}$ and the one-loop matching condition on the top quark mass are negligible. We estimate the size of effects on the triviality bounds from the one-loop matching condition on the Higgs boson mass.

Explore related subjects

hep-ph

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Jae Sik Lee, Jae Kwan Kim. 1996-02-28. Remarks on the Upper Bounds on the Higgs Boson Mass from Triviality. https://doi.org/10.1103/physrevd.53.6689

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Pomeron Weights in QCD Processes at High Energy and the $S$-Matrix Unitarity Constraint

The pomeron topological cross-section is derived for the eikonal and the $U$-matrix unitarization schemes using a generalized representation of the scattering amplitude at high energy in an effort to examine pomeron characteristics, namely the multiplicity distribution, fluctuation, and correlation, and to reveal the impact of pomeron weights on the $pp$ multiplicity distribution. The results demonstrate that the $U$-matrix inherently incorporates a larger amount of diffraction production into the multi-pomeron vertices, yielding a larger pomerons' variability regardless of the energy range, while such fluctuations become significant only beyond a specific high-energy threshold in eikonal-like schemes. Most importantly, our findings indicate that within the $U$-matrix scheme, an increase in exchanged pomerons results in more pronounced pomeron correlations and that this correlated resummation plays a key role in enhancing multi-parton collisions. We argue that the choice of unitarization scheme is not arbitrary, as it directly dictates the statistical structure of multi-reggeon exchanges. By reflecting the composite nature of hadrons, rational alternatives to eikonal-like schemes, such as the $U$-matrix, offer a compelling theoretical foundation for modeling high-energy hadronic collisions, provided that specific formulations can be identified that strictly satisfy all mathematical and physical constraints.

hep-ph↗
arXiv2026

Two-loop renormalisation of quark and gluon fields in the SMEFT

We compute the contributions of CP-conserving operators in the dimension-six SMEFT to the two-loop renormalisation constants of quark and gluon fields in the $\overline{\textrm{MS}}$-scheme. Specifically, we consider the top-quark chromomagnetic operator and the triple gluon operator. We work with the background-field method, which allows us to extract the contribution of these operators to the two-loop running of the top mass and the strong coupling constant. We discuss in detail the mixing with the unphysical operators required for the renormalisation, and we present analytic results for the renormalisation constants of all relevant operators.

hep-ph↗
arXiv2026

Two-loop renormalisation of quark and gluon fields in the SMEFT in the on-shell scheme

We compute the contributions of CP-conserving dimension-six SMEFT operators to the two-loop renormalisation constants of quark and gluon fields in the on-shell scheme. Specifically, we consider the top-quark chromomagnetic operator and the triple gluon operator. We also compute the contribution of four-quark operators to the gluon renormalisation constant and discuss the implications for the running of the strong coupling constant.

hep-ph↗