Higgs mass and grand unification

S. R.W. Juárez; A. S. Morales; P. Kielanowski

Higgs mass and grand unification

S. R.W. Juárez, A. S. Morales, P. Kielanowski

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The knowledge of the solution of the Renormalization Group Equation (RGE) for the quartic self-interaction of the Higgs scalar λ_H is crucial for the determination of the energy limits on the Higgs mass. λ_H is also important in order to solve the RGEs at the two loop level for other observables like the quark masses or the Cabibbo-Kobayashi-Maskawa (CKM) matrix. We obtain an analytical and numerical (considering Grand Unification) solution to the one loop renormalization group evolution of the Higgs quartic coupling λ_H in the energy range [m_t, E_GU], where m_t is the mass of the top quark and E_GU = 10¹⁴ GeV. We find that depending on the value of λ_H(m_t) the solution for λ_H (E) may have singularities or zeros and become negative, in which case the Standard Model (SM) becomes inconsistent. We obtain that for 0.65 ≤ λ_H (m_t) ≤ 0.69 the SM is valid in the whole range [m_t, E_GU]- These values of λ_H(m_t) correspond to the following Higgs mass 198 ≤ m_H ≤ 205 GeV.

Original language	English
Pages (from-to)	401-405
Number of pages	5
Journal	Revista Mexicana de Fisica
Volume	50
Issue number	4
State	Published - Aug 2004

Keywords

Higgs
Quartic self-interaction
Riccati equation
Standard model

Cite this

@article{f7cd97945f254d14b485eb1670dc0d1d,

title = "Higgs mass and grand unification",

abstract = "The knowledge of the solution of the Renormalization Group Equation (RGE) for the quartic self-interaction of the Higgs scalar λH is crucial for the determination of the energy limits on the Higgs mass. λH is also important in order to solve the RGEs at the two loop level for other observables like the quark masses or the Cabibbo-Kobayashi-Maskawa (CKM) matrix. We obtain an analytical and numerical (considering Grand Unification) solution to the one loop renormalization group evolution of the Higgs quartic coupling λH in the energy range [mt, EGU], where mt is the mass of the top quark and EGU = 1014 GeV. We find that depending on the value of λH(mt) the solution for λH (E) may have singularities or zeros and become negative, in which case the Standard Model (SM) becomes inconsistent. We obtain that for 0.65 ≤ λH (mt) ≤ 0.69 the SM is valid in the whole range [mt, EGU]- These values of λH(mt) correspond to the following Higgs mass 198 ≤ mH ≤ 205 GeV.",

keywords = "Higgs, Quartic self-interaction, Riccati equation, Standard model",

author = "Ju{\'a}rez, {S. R.W.} and Morales, {A. S.} and P. Kielanowski",

year = "2004",

month = aug,

language = "Ingl{\'e}s",

volume = "50",

pages = "401--405",

journal = "Revista Mexicana de Fisica",

issn = "0035-001X",

number = "4",

}

TY - JOUR

T1 - Higgs mass and grand unification

AU - Juárez, S. R.W.

AU - Morales, A. S.

AU - Kielanowski, P.

PY - 2004/8

Y1 - 2004/8

N2 - The knowledge of the solution of the Renormalization Group Equation (RGE) for the quartic self-interaction of the Higgs scalar λH is crucial for the determination of the energy limits on the Higgs mass. λH is also important in order to solve the RGEs at the two loop level for other observables like the quark masses or the Cabibbo-Kobayashi-Maskawa (CKM) matrix. We obtain an analytical and numerical (considering Grand Unification) solution to the one loop renormalization group evolution of the Higgs quartic coupling λH in the energy range [mt, EGU], where mt is the mass of the top quark and EGU = 1014 GeV. We find that depending on the value of λH(mt) the solution for λH (E) may have singularities or zeros and become negative, in which case the Standard Model (SM) becomes inconsistent. We obtain that for 0.65 ≤ λH (mt) ≤ 0.69 the SM is valid in the whole range [mt, EGU]- These values of λH(mt) correspond to the following Higgs mass 198 ≤ mH ≤ 205 GeV.

AB - The knowledge of the solution of the Renormalization Group Equation (RGE) for the quartic self-interaction of the Higgs scalar λH is crucial for the determination of the energy limits on the Higgs mass. λH is also important in order to solve the RGEs at the two loop level for other observables like the quark masses or the Cabibbo-Kobayashi-Maskawa (CKM) matrix. We obtain an analytical and numerical (considering Grand Unification) solution to the one loop renormalization group evolution of the Higgs quartic coupling λH in the energy range [mt, EGU], where mt is the mass of the top quark and EGU = 1014 GeV. We find that depending on the value of λH(mt) the solution for λH (E) may have singularities or zeros and become negative, in which case the Standard Model (SM) becomes inconsistent. We obtain that for 0.65 ≤ λH (mt) ≤ 0.69 the SM is valid in the whole range [mt, EGU]- These values of λH(mt) correspond to the following Higgs mass 198 ≤ mH ≤ 205 GeV.

KW - Higgs

KW - Quartic self-interaction

KW - Riccati equation

KW - Standard model

UR - http://www.scopus.com/inward/record.url?scp=4944241604&partnerID=8YFLogxK

M3 - Artículo

SN - 0035-001X

VL - 50

SP - 401

EP - 405

JO - Revista Mexicana de Fisica

JF - Revista Mexicana de Fisica

IS - 4

ER -

Higgs mass and grand unification

Abstract

Keywords

Other files and links

Fingerprint

Cite this