Calculation of Higgs Self-Coupling Constant for One-Loop and Two-Loop Effective Potentials and Their Perturbative Validity
American Journal of Physics and Applications
Volume 3, Issue 2, March 2015, Pages: 63-66
Received: Mar. 4, 2015;
Accepted: Mar. 18, 2015;
Published: Mar. 24, 2015
Views 2518 Downloads 107
Partha Pratim Pal, Bolpur Sikshaniketan Ashram Vidyalaya, West Bengal, Bolpur, Birbhum, India
Although the Standard Model has been very successful in explaining the present data, it is unable to express the value of Higgs self coupling constant. It is a free parameter of the theory. Recently a Higgs like particle is reported to be discovered at CMS and ATLAS experiments at CERN LHC with a mass of about 125 GeV. The purpose of this paper is to calculate the value of Higgs self coupling constant in the Standard Model for one and two-loops Higgs potential. Considering the value of Higgs mass as 125 GeV we obtain the value of Higgs self coupling constant as 0.1373 for both one and two-loops Higgs potential. We also find that the condition for perturbative validity given by Miller is satisfied, when the Higgs mass is calculated perturbatively from the effective potential given by the massless φ^4 theory at one and two-loop level.
Partha Pratim Pal,
Calculation of Higgs Self-Coupling Constant for One-Loop and Two-Loop Effective Potentials and Their Perturbative Validity, American Journal of Physics and Applications.
Vol. 3, No. 2,
2015, pp. 63-66.
S. L. Glashow, 1961 Nucl. phys. 22, 579; A. Salam, 1968, in Elementary Particle Theory, Almquist and Forlag, Stockholm; A. Salam and J. C. Ward, 1964 Phys. Lett, 13, 168; S. Weinberg, 1967 Phys. Rev. Lett. 19, 1264; Cheng T. P. and Li L.F., Gauge Theory Of Elementary Particle Physics, Clarendon Press, Oxford, 1984. P396.
Higgs P.W. (1964) Phys. Rev. Lett. 12, 132; (1966) Phys. Rev. 145, 1156
Englert F and Brout R 1964 Phys.Rev.Lett.13, 321; Guralnik G S, Hagen C R and Kibble T W B 1964 Phys.Rev.Lett. 13, 585.
LEP Higgs Working Group, CERN – EP / 2001-055; Abbiendi, G, Phys.Lett.B565 (2003)61; Review of Higgs Physics at the LHC, V. Drollinger, hep-ph/0405026, 2004.
Large Hadron Collider-Wikipedia, the free encyclopaedia en.wikipedia.org/wiki/Large-Hadron-Higgs-like Particle Discovered at CERN; Kane G,Pierce A(ed)2008 Perspective on LHC physics (Singapore:World Science)
Coleman S. and Weinberg E. (1973) Phys. Rev. D7, 1888
Weinberg S. (1979) Phys. Lett. 82B, 387
Linde A. D. (1976) Sov. Phys. JETPLett. 23, 64; Weinberg S. (1976) Phys. Rev. Lett. 36, 294.
Miller Robert D C (1983). J.Phys. G ,Nucl .Phys. 9 , 697
Sher M, Phys. Rep. (1989) 179, 299.