English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We consider the effective potential $V$ in the standard model with a singleHiggs doublet in the limit that the only mass scale $\mu$ present isradiatively generated. Using a technique that has been shown to determine $V$completely in terms of the renormalization group (RG) functions when using theColeman-Weinberg (CW) renormalization scheme, we first sum leading-log (LL)contributions to $V$ using the one loop RG functions, associated with fivecouplings (the top quark Yukawa coupling $x$, the quartic coupling of the Higgsfield $y$, the SU(3) gauge coupling $z$, and the $SU(2) \times U(1)$ couplings$r$ and $s$). We then employ the two loop RG functions with the three couplings$x$, $y$, $z$ to sum the next-to-leading-log (NLL) contributions to $V$ andthen the three to five loop RG functions with one coupling $y$ to sum all the$N^2LL...N^4LL$ contributions to $V$. In order to compute these sums, it isnecessary to convert those RG functions that have been originally computedexplicitly in the minimal subtraction (MS) scheme to their form in the CWscheme. The Higgs mass can then be determined from the effective potential: the$LL$ result is $m_{H}=219\;GeV/c^2$ decreases to $m_{H}=188\;GeV/c^2$ at$N^{2}LL$ order and $m_{H}=163\;GeV/c^2$ at $N^{4}LL$ order. No reasonableestimate of $m_H$ can be made at orders $V_{NLL}$ or $V_{N^3LL}$. This is takento be an indication that this mechanism for spontaneous symmetry breaking is infact viable, though one in which there is slow convergence towards the actualvalue of $m_H$. The mass $163\;GeV/c^2$ is argued to be an upper bound on$m_H$.

Can the Renormalization Group Improved Effective Potential be used to estimate the Higgs Mass in the Conformal Limit of the Standard Model?