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In the absence of a tree-level scalar-field mass, renormalization-group methods permit the explicit summation of leading-logarithm contributions to all orders of the perturbative series within the effective potential for $SU(2)\times U(1)$…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. Elias , R. B. Mann , D. G. C. McKeon , T. G. Steele

At energies ($\sqrt{s}$) much higher than the electroweak gauge boson masses ($M$) large logarithmic corrections of the scale ratio $\sqrt{s}/M$ occur. While the electroweak Sudakov type double (DL) and universal single (SL) logarithms have…

High Energy Physics - Phenomenology · Physics 2009-11-07 Michael Melles

In the minimal supersymmetric model (MSSM) all Higgs self-coupling parameters are related to gauge couplings at tree-level. Leading-logarithmic radiative corrections to these quantities can be summed using renormalization group techniques.…

High Energy Physics - Phenomenology · Physics 2009-10-22 Howard E. Haber , Ralf Hempfling

In the empirically sensible limit in which QCD, t-quark Yukawa, and scalar-field-interaction coupling constants dominate all other Standard-Model coupling constants, we sum all leading-logarithm terms within the perturbative expansion for…

High Energy Physics - Phenomenology · Physics 2011-01-13 V. Elias , R. B. Mann , D. G. C. McKeon , T. G. Steele

The one-loop radiative corrections to the Higgs boson potential in the MSSM, originating from the top quark and squark loops, are summed in the leading log approximation using the renormalization group. The RG improved effective potential…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. V. Gladyshev , D. I. Kazakov

We demonstrate the stability under subsequent-to-leading logarithm corrections of the quartic scalar-field coupling constant $\lambda$ and the running Higgs boson mass obtained from the (initially massless) effective potential for…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. A. Chishtie , V. Elias , R. B. Mann , D. G. C. McKeon , T. G. Steele

We consider the effective potential $V$ in the standard model with a single Higgs doublet in the limit that the only mass scale $\mu$ present is radiatively generated. Using a technique that has been shown to determine $V$ completely in…

High Energy Physics - Phenomenology · Physics 2011-05-19 F. A. Chishtie , T. Hanif , J. Jia , R. B. Mann , D. G. C. McKeon , T. N. Sherry , T. G. Steele

The recent result on the third order correction to the Higgs boson production through gluon fusion by Anastasiou et al. [1] not only provides a precise prediction with reduced scale uncertainties for studying the Higgs boson properties but…

High Energy Physics - Phenomenology · Physics 2015-05-28 Taushif Ahmed , Goutam Das , M. C. Kumar , Narayan Rana , V. Ravindran

We propose, for the computation of the Higgs mass spectrum and couplings, a renormalization-group improved leading-log approximation, where the renormalization scale is fixed to the top-quark pole mass. For the case $m_A\sim M_{\rm SUSY}$,…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Carena , J. R. Espinosa , M. Quiros , C. E. M. Wagner

The effective potential for radiatively broken electroweak symmetry in the single Higgs doublet Standard Model is explored to four sequentially subleading logarithm-summation levels (5-loops) in the dominant Higgs self-interaction couplant…

High Energy Physics - Phenomenology · Physics 2011-01-13 V. Elias , R. B. Mann , D. G. C. McKeon , T. G. Steele

Multi-scale renormalization group (RG) methods are reviewed and applied to the analysis of the effective potential for radiative symmetry breaking with multiple scalar fields, allowing an extension of the Gildener & Weinberg (GW) method…

High Energy Physics - Phenomenology · Physics 2014-11-19 T. G. Steele , Zhi-Wei Wang , D. G. C. McKeon

We obtain the renormalization group(RG) functions for the massless scalar field theory where symmetry breaking occurs radiatively. After obtaining the effective potential for the radiative symmetry breaking scheme from that of the minimal…

High Energy Physics - Theory · Physics 2009-09-28 Chungku Kim

We present the Renormalization Group improvement of the Twin Higgs effective potential at cubic order in logarithmic accuracy. We first introduce a model-independent low-energy effective Lagrangian that captures both the…

High Energy Physics - Phenomenology · Physics 2016-11-22 Davide Greco , Kin Mimouni

A new strategy is presented for systematically treating super-leading logarithmic contributions including higher-order Glauber exchanges for non-global LHC observables in renormalization-group (RG) improved perturbation theory. This…

High Energy Physics - Phenomenology · Physics 2024-08-09 Philipp Böer , Patrick Hager , Matthias Neubert , Michel Stillger , Xiaofeng Xu

For any perturbative series that is known to $k$-subleading orders of perturbation theory, we utilise the process-appropriate renormalization-group (RG) equation in order to obtain all-orders summation of series terms proportional to…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. R. Ahmady , F. A. Chishtie , V. Elias , A. H. Fariborz , N. Fattahi , D. G. C. McKeon , T. N. Sherry , T. G. Steele

We derive a general formula for the RG improved effective (Coleman-Weinberg) potential for classically conformal models, applying it to several examples of physical interest, and in particular a model of QCD coupled via quarks to a…

High Energy Physics - Theory · Physics 2010-01-15 Krzysztof A. Meissner , Hermann Nicolai

The mass of the lightest CP-even Higgs boson of the minimal supersymmetric extension of the Standard Model (MSSM) has previously been computed including O(alpha alpha_s) two-loop contributions by an on-shell diagrammatic method, while…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Carena , H. E. Haber , S. Heinemeyer , W. Hollik , C. E. M. Wagner , G. Weiglein

Renormalization group analysis is made on the relation $m_{\rm H} \simeq \sqrt{2}m_t$ for masses of the top quark and the Higgs boson, which is predicted by the standard model based on generalized covariant derivatives with gauge and Higgs…

High Energy Physics - Phenomenology · Physics 2009-10-28 Tadatomi Shinohara , Kouzou Nishida , Hajime Tanaka , Ikuo S. Sogami

We study the renormalizable group equations (RGEs) of the extended strong and weak gauge couplings in an ${\rm SU}(8)$ theory, where three-generational SM fermions are non-trivially embedded. This framework was previously found to generate…

High Energy Physics - Phenomenology · Physics 2024-10-25 Ning Chen , Zhanpeng Hou , Ying-nan Mao , Zhaolong Teng

Based on the renormalization group summation method of McKeon ${\it et\; al.}$, it is shown that the renormalization group equation, while related to the radiatively mass scale $\mu$, would perform a summation over QCD perturbative terms.…

High Energy Physics - Phenomenology · Physics 2020-02-19 M. Akrami , A. Mirjalili
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