Higgs boson self-coupling from two-loop analysis

Alhendi, H A; Barakat, T; Loqman, I Gh

doi:10.1103/PHYSREVD.82.053008

Title: Higgs boson self-coupling from two-loop analysis

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Abstract

The scale invariant of the effective potential of the standard model at two loop is used as a boundary condition under the assumption that the two-loop effective potential approximates the full effective potential. This condition leads with the help of the renormalization-group functions of the model at two loop to an algebraic equation of the scalar self-coupling with coefficients that depend on the gauge and the top quark couplings. It admits only two real positive solutions. One of them, in the absence of the gauge and top quark couplings, corresponds to the nonperturbative ultraviolet fixed point of the scalar renormalization-group function and the other corresponds to the perturbative infrared fixed point. The dependence of the scalar coupling on the top quark and the strong couplings at two-loop radiative corrections is analyzed.

Authors:

Alhendi, H A ^[1]; Barakat, T; Loqman, I Gh ^[1]

Physics Department, King Saud University, P. O. Box 2455, Riyadh 11451 (Saudi Arabia)

Publication Date:: Wed Sep 01 00:00:00 EDT 2010

OSTI Identifier:: 21432950

Resource Type:: Journal Article

Journal Name:: Physical Review. D, Particles Fields

Additional Journal Information:: Journal Volume: 82; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevD.82.053008; (c) 2010 American Institute of Physics; Journal ID: ISSN 0556-2821

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; BOUNDARY CONDITIONS; COUPLING; EQUATIONS; GAUGE INVARIANCE; HIGGS BOSONS; MATHEMATICAL SOLUTIONS; PERTURBATION THEORY; RADIATIVE CORRECTIONS; RENORMALIZATION; SIMULATION; STANDARD MODEL; STRONG-COUPLING MODEL; T QUARKS; ULTRAVIOLET RADIATION; BOSONS; CALCULATION METHODS; CORRECTIONS; ELECTROMAGNETIC RADIATION; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; GRAND UNIFIED THEORY; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; PARTICLE MODELS; POSTULATED PARTICLES; QUANTUM FIELD THEORY; QUARKS; RADIATIONS; TOP PARTICLES; UNIFIED GAUGE MODELS

Citation Formats


                    Alhendi, H A, National Center for Mathematics and Physics, KACST P. O. Box 6086, Riyadh 11442, Barakat, T, and Loqman, I Gh. Higgs boson self-coupling from two-loop analysis.  United States: N. p., 2010. 
        Web.  doi:10.1103/PHYSREVD.82.053008.

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                    Alhendi, H A, National Center for Mathematics and Physics, KACST P. O. Box 6086, Riyadh 11442, Barakat, T, & Loqman, I Gh. Higgs boson self-coupling from two-loop analysis.  United States.  https://doi.org/10.1103/PHYSREVD.82.053008

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                    Alhendi, H A, National Center for Mathematics and Physics, KACST P. O. Box 6086, Riyadh 11442, Barakat, T, and Loqman, I Gh. 2010.  
        "Higgs boson self-coupling from two-loop analysis".  United States.  https://doi.org/10.1103/PHYSREVD.82.053008.

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@article{osti_21432950,

  title        = {Higgs boson self-coupling from two-loop analysis},

  author       = {Alhendi, H A and National Center for Mathematics and Physics, KACST P. O. Box 6086, Riyadh 11442 and Barakat, T and Loqman, I Gh},

  abstractNote = {The scale invariant of the effective potential of the standard model at two loop is used as a boundary condition under the assumption that the two-loop effective potential approximates the full effective potential. This condition leads with the help of the renormalization-group functions of the model at two loop to an algebraic equation of the scalar self-coupling with coefficients that depend on the gauge and the top quark couplings. It admits only two real positive solutions. One of them, in the absence of the gauge and top quark couplings, corresponds to the nonperturbative ultraviolet fixed point of the scalar renormalization-group function and the other corresponds to the perturbative infrared fixed point. The dependence of the scalar coupling on the top quark and the strong couplings at two-loop radiative corrections is analyzed.},

  doi          = {10.1103/PHYSREVD.82.053008},

  url          = {https://www.osti.gov/biblio/21432950},
  journal      = {Physical Review. D, Particles Fields},

  issn         = {0556-2821},

  number       = 5,

  volume       = 82,

  place        = {United States},

  year         = {Wed Sep 01 00:00:00 EDT 2010},

  month        = {Wed Sep 01 00:00:00 EDT 2010}

}

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