Reducing the quadratic divergence in the Higgs boson mass squared without top partners
Abstract
We examine a model with multiple scalar fields to see whether it is possible to reduce the fine-tuning of the Standard Model Higgs mass without introducing low scale top partners. Our approach may be regarded as a generalization of the condition proposed by Veltman, who attempted to predict the Higgs mass using the criterion that the various low energy contributions to the quadratic divergence of the Higgs mass cancel. Although the Veltman condition predicts the wrong Higgs mass in the Standard Model, it can still be adapted to extended Higgs sectors. Furthermore, theories with additional Higgs bosons can lead to suppressed Yukawa couplings of the top quark to the 125 GeV Higgs, making the associated one-loop divergence smaller. Here, we review possible extensions of the Standard Model where the Veltman condition could be realized, and study in detail one minimal model with two extra scalar fields. For this model and for a cutoff of 5 TeV, we show that the overall fine-tuning can be considerably lowered without introducing low-scale Landau poles, albeit the Higgs sector will contain fairly large couplings at the cutoff. Models where the top Yukawa coupling is reduced, in particular, will be within the reach of themore »
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Washington, Seattle, WA (United States); Nikhef, Amsterdam (Netherlands)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); Netherlands Organisation for Scientific Research (NWO)
- OSTI Identifier:
- 1465228
- Alternate Identifier(s):
- OSTI ID: 1498662
- Grant/Contract Number:
- SC0011637
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Name: Physical Review. D. Journal Volume: 98 Journal Issue: 3; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; electroweak radiative corrections; extensions of Higgs sector; hierarchy problem
Citation Formats
El Hedri, Sonia, Nelson, Ann E., and Walker, Devin G. E. Reducing the quadratic divergence in the Higgs boson mass squared without top partners. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.035029.
El Hedri, Sonia, Nelson, Ann E., & Walker, Devin G. E. Reducing the quadratic divergence in the Higgs boson mass squared without top partners. United States. https://doi.org/10.1103/PhysRevD.98.035029
El Hedri, Sonia, Nelson, Ann E., and Walker, Devin G. E. Mon .
"Reducing the quadratic divergence in the Higgs boson mass squared without top partners". United States. https://doi.org/10.1103/PhysRevD.98.035029.
@article{osti_1465228,
title = {Reducing the quadratic divergence in the Higgs boson mass squared without top partners},
author = {El Hedri, Sonia and Nelson, Ann E. and Walker, Devin G. E.},
abstractNote = {We examine a model with multiple scalar fields to see whether it is possible to reduce the fine-tuning of the Standard Model Higgs mass without introducing low scale top partners. Our approach may be regarded as a generalization of the condition proposed by Veltman, who attempted to predict the Higgs mass using the criterion that the various low energy contributions to the quadratic divergence of the Higgs mass cancel. Although the Veltman condition predicts the wrong Higgs mass in the Standard Model, it can still be adapted to extended Higgs sectors. Furthermore, theories with additional Higgs bosons can lead to suppressed Yukawa couplings of the top quark to the 125 GeV Higgs, making the associated one-loop divergence smaller. Here, we review possible extensions of the Standard Model where the Veltman condition could be realized, and study in detail one minimal model with two extra scalar fields. For this model and for a cutoff of 5 TeV, we show that the overall fine-tuning can be considerably lowered without introducing low-scale Landau poles, albeit the Higgs sector will contain fairly large couplings at the cutoff. Models where the top Yukawa coupling is reduced, in particular, will be within the reach of the upcoming LHC searches.},
doi = {10.1103/PhysRevD.98.035029},
journal = {Physical Review. D.},
number = 3,
volume = 98,
place = {United States},
year = {Mon Aug 20 00:00:00 EDT 2018},
month = {Mon Aug 20 00:00:00 EDT 2018}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.98.035029
https://doi.org/10.1103/PhysRevD.98.035029
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 1 work
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Physics beyond the standard model (Theory): Introducing the Little Higgs
journal, April 2003
- Schmaltz, Martin
- Nuclear Physics B - Proceedings Supplements, Vol. 117
The Littlest Higgs
journal, July 2002
- Arkani-Hamed, Nima; Cohen, Andrew G.; Katz, Emanuel
- Journal of High Energy Physics, Vol. 2002, Issue 07
Softly broken supersymmetry and SU(5)
journal, December 1981
- Dimopoulos, Savas; Georgi, Howard
- Nuclear Physics B, Vol. 193, Issue 1
Triplet-extended scalar sector and the naturalness problem
journal, May 2014
- Chakraborty, Indrani; Kundu, Anirban
- Physical Review D, Vol. 89, Issue 9
The anatomy of electroweak symmetry breaking Tome II: The Higgs bosons in the Minimal Supersymmetric Model
journal, April 2008
- Djouadi, A.
- Physics Reports, Vol. 459, Issue 1-6
Perturbative unitarity constraints on the NMSSM Higgs Sector
journal, March 2018
- Betre, Kassahun; El Hedri, Sonia; Walker, Devin G. E.
- Physics of the Dark Universe, Vol. 19
Large Mass Hierarchy from a Small Extra Dimension
journal, October 1999
- Randall, Lisa; Sundrum, Raman
- Physical Review Letters, Vol. 83, Issue 17
Implications for New Physics from Fine-Tuning Arguments: I. Application to SUSY and Seesaw Cases
journal, November 2004
- Casas, J. A.; Espinosa, J. R.; Hidalgo, I.
- Journal of High Energy Physics, Vol. 2004, Issue 11
A simple inert model solves the little hierarchy problem and provides a dark matter candidate
journal, February 2013
- Bazzocchi, F.; Fabbrichesi, M.
- The European Physical Journal C, Vol. 73, Issue 2
Search for heavy resonances decaying into WW in the $$e\nu \mu \nu $$ e ν μ ν final state in pp collisions at $$\sqrt{s}=13$$ s = 13 $$\,\text {TeV}$$ TeV with the ATLAS detector
journal, January 2018
- Aaboud, M.; Aad, G.; Abbott, B.
- The European Physical Journal C, Vol. 78, Issue 1
Controlling the fine-tuning problem with singlet scalar dark matter
journal, March 2013
- Chakraborty, Indrani; Kundu, Anirban
- Physical Review D, Vol. 87, Issue 5
Dynamical mass generation by compact extra dimensions
journal, July 1983
- Hosotani, Yutaka
- Physics Letters B, Vol. 126, Issue 5
Two-Higgs doublet models confront the naturalness problem
journal, December 2014
- Chakraborty, Indrani; Kundu, Anirban
- Physical Review D, Vol. 90, Issue 11
Electroweak symmetry breaking from dimensional deconstruction
journal, July 2001
- Arkani-Hamed, Nima; Cohen, Andrew G.; Georgi, Howard
- Physics Letters B, Vol. 513, Issue 1-2
On the Veltman condition, the hierarchy problem, and high-scale supersymmetry
journal, November 2013
- Masina, Isabella; Quiros, Mariano
- Physical Review D, Vol. 88, Issue 9
Classical scale invariance in the inert doublet model
journal, September 2015
- Plascencia, Alexis D.
- Journal of High Energy Physics, Vol. 2015, Issue 9
Taming the scalar mass problem with a singlet Higgs boson
journal, April 1996
- Kundu, Anirban; Raychaudhuri, Sreerup
- Physical Review D, Vol. 53, Issue 7
Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
journal, September 2012
- Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M.
- Physics Letters B, Vol. 716, Issue 1
Vanishing Higgs one-loop quadratic divergence in the scotogenic model and beyond
journal, May 2014
- Ma, Ernest
- Physics Letters B, Vol. 732
Softening the naturalness problem
journal, December 2003
- Calmet, X.
- The European Physical Journal C, Vol. 32, Issue 1
Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
journal, September 2012
- Aad, G.; Abajyan, T.; Abbott, B.
- Physics Letters B, Vol. 716, Issue 1
The intermediate Higgs
journal, August 2005
- Katz, Emanuel; Nelson, Ann E.; Walker, Devin G. E.
- Journal of High Energy Physics, Vol. 2005, Issue 08
The more Minimal Supersymmetric Standard Model
journal, November 1996
- Cohen, A. G.; Kaplan, D. B.; Nelson, A. E.
- Physics Letters B, Vol. 388, Issue 3
Comments on the hierarchy problem in effective theories
journal, July 2014
- Kobakhidze, Archil; McDonald, Kristian L.
- Journal of High Energy Physics, Vol. 2014, Issue 7
Masses of physical scalars in two Higgs doublet models
journal, June 2015
- Biswas, Ambalika; Lahiri, Amitabha
- Physical Review D, Vol. 91, Issue 11
Gauge group breaking by Wilson loops
journal, January 1988
- Davies, A. T.; McLachlan, A.
- Physics Letters B, Vol. 200, Issue 3
Baryogenesis in the two doublet and inert singlet extension of the Standard Model
journal, August 2016
- Alanne, Tommi; Kainulainen, Kimmo; Tuominen, Kimmo
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 08
Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
journal, November 1971
- Wilson, Kenneth G.
- Physical Review B, Vol. 4, Issue 9
Search for heavy ZZ resonances in the $$\ell ^+\ell ^-\ell ^+\ell ^-$$ ℓ + ℓ - ℓ + ℓ - and $$\ell ^+\ell ^-\nu \bar{\nu }$$ ℓ + ℓ - ν ν ¯ final states using proton–proton collisions at $$\sqrt{s}= 13$$ s = 13 $$\text {TeV}$$ TeV with the ATLAS detector
journal, April 2018
- Aaboud, M.; Aad, G.; Abbott, B.
- The European Physical Journal C, Vol. 78, Issue 4
Search for heavy resonances decaying into a W or Z boson and a Higgs boson in final states with leptons and b-jets in 36 fb−1 of s = 13 $$ \sqrt{s}=13 $$ TeV pp collisions with the ATLAS detector
journal, March 2018
- Aaboud, M.; Aad, G.; Abbott, B.
- Journal of High Energy Physics, Vol. 2018, Issue 3
Effects of a real singlet scalar on Veltman condition
journal, May 2014
- Karahan, Canan Nurhan; Korutlu, Beste
- Physics Letters B, Vol. 732
Search for new high-mass phenomena in the dilepton final state using 36 fb−1 of proton-proton collision data at s =
13 $$ \sqrt{s}=13 $$ TeV with the ATLAS detector
journal, October 2017
- Aaboud, M.; Aad, G.; Abbott, B.
- Journal of High Energy Physics, Vol. 2017, Issue 10
Cosmic strings and domain walls
journal, May 1985
- Vilenkin, Alexander
- Physics Reports, Vol. 121, Issue 5
Vacuum symmetry and the pseudo-Goldstone phenomenon
journal, July 1975
- Georgi, Howard; Pais, A.
- Physical Review D, Vol. 12, Issue 2
Canceling Quadratic Divergences in a Class of Two-Higgs-Doublet Models
journal, July 2001
- Ma, Ernest
- International Journal of Modern Physics A, Vol. 16, Issue 18
Radiative Corrections as the Origin of Spontaneous Symmetry Breaking
journal, March 1973
- Coleman, Sidney; Weinberg, Erick
- Physical Review D, Vol. 7, Issue 6
Topology of cosmic domains and strings
journal, August 1976
- Kibble, T. W. B.
- Journal of Physics A: Mathematical and General, Vol. 9, Issue 8
Singlet fermionic dark matter with Veltman conditions
journal, July 2018
- Kim, Yeong Gyun; Lee, Kang Young; Nam, Soo-hyeon
- Physics Letters B, Vol. 782
Little hierarchy problem for new physics just beyond the LHC
journal, February 2013
- Bazzocchi, F.; Fabbrichesi, M.
- Physical Review D, Vol. 87, Issue 3
Evidence for the associated production of the Higgs boson and a top quark pair with the ATLAS detector
journal, April 2018
- Aaboud, M.; Aad, G.; Abbott, B.
- Physical Review D, Vol. 97, Issue 7
Implication of quadratic divergences cancellation in the two Higgs doublet model
journal, January 2018
- Darvishi, Neda; Krawczyk, Maria
- Nuclear Physics B, Vol. 926
The LHC phenomenology of vectorlike confinement
journal, April 2010
- Kilic, Can; Okui, Takemichi
- Journal of High Energy Physics, Vol. 2010, Issue 4
Observation of Production
journal, June 2018
- Sirunyan, A. M.; Tumasyan, A.; Adam, W.
- Physical Review Letters, Vol. 120, Issue 23
Improved naturalness with a heavy Higgs boson: An alternative road to CERN LHC physics
journal, July 2006
- Barbieri, Riccardo; Hall, Lawrence J.; Rychkov, Vyacheslav S.
- Physical Review D, Vol. 74, Issue 1
Naturalness in a Simple two Higgs Doublet Model
journal, May 2013
- Jora, Renata; Nasri, Salah; Schechter, Joseph
- International Journal of Modern Physics A, Vol. 28, Issue 12
Natural Electroweak Breaking from a Mirror Symmetry
journal, June 2006
- Chacko, Z.; Goh, Hock-Seng; Harnik, Roni
- Physical Review Letters, Vol. 96, Issue 23
Search for a new heavy gauge-boson resonance decaying into a lepton and missing transverse momentum in 36 fb $$^{-1}$$ - 1 of pp collisions at $$\sqrt{s} = 13$$ s = 13 TeV with the ATLAS experiment
journal, May 2018
- Aaboud, M.; Aad, G.; Abbott, B.
- The European Physical Journal C, Vol. 78, Issue 5
Extending two-Higgs-doublet models by a singlet scalar field — The case for dark matter
journal, November 2014
- Drozd, Aleksandra; Grzadkowski, Bohdan; Gunion, John F.
- Journal of High Energy Physics, Vol. 2014, Issue 11
The half-composite two Higgs doublet model and the relaxion
journal, December 2015
- Antipin, Oleg; Redi, Michele
- Journal of High Energy Physics, Vol. 2015, Issue 12
Update of the electroweak precision fit, interplay with Higgs-boson signal strengths and model-independent constraints on new physics
journal, April 2016
- Ciuchini, Marco; Franco, Enrico; Mishima, Satoshi
- Nuclear and Particle Physics Proceedings, Vol. 273-275
The Gauge Hierarchy Problem and Higher-Dimensional Gauge Theories
journal, October 1998
- Hatanaka, Hisaki; Inami, Takeo; Lim, C. S.
- Modern Physics Letters A, Vol. 13, Issue 32
Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at s = 7 $$ \sqrt{s}=7 $$ and 8 TeV
journal, August 2016
- Aad, G.; Abbott, B.; Abdallah, J.
- Journal of High Energy Physics, Vol. 2016, Issue 8
Conformal extensions of the standard model with Veltman conditions
journal, April 2014
- Antipin, Oleg; Mojaza, Matin; Sannino, Francesco
- Physical Review D, Vol. 89, Issue 8
The renormalization group and the ε expansion
journal, August 1974
- Wilson, K.
- Physics Reports, Vol. 12, Issue 2