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Title: Universal relations in composite Higgs models

Abstract

We initiate a phenomenological study of “universal relations” in composite Higgs models, which are dictated by nonlinear shift symmetries acting on the 125 GeV Higgs boson. These are relations among one Higgs couplings with two electroweak gauge bosons (HVV), two Higgses couplings with two electroweak gauge bosons (HHVV), one Higgs couplings with three electroweak gauge bosons (HVVV), as well as triple gauge boson couplings (TGC), which are all controlled by a single input parameter: the decay constant f of the pseudo-Nambu-Goldstone Higgs boson. Assuming custodial invariance in strong sector, the relation is independent of the symmetry breaking pattern in the UV, for an arbitrary symmetric coset G/H. The complete list of corrections to HVV, HHVV, HVVV and TGC couplings in composite Higgs models is presented to all orders in 1/ f, and up to four-derivative level, without referring to a particular G/H. We then present several examples of universal relations in ratios of coefficients which could be extracted experimentally. Measuring the universal relation requires a precision sensitive to effects of dimension-8 operators in the effective Lagrangian and highlights the importance of verifying the tensor structure of HHVV interactions in the standard model, which remains untested to date.

Authors:
 [1];  [2];  [3]
  1. Argonne National Lab. (ANL), Argonne, IL (United States)
  2. Argonne National Lab. (ANL), Argonne, IL (United States); Northwestern Univ., Evanston, IL (United States)
  3. Northwestern Univ., Evanston, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1559967
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; phenomenological models

Citation Formats

Liu, Da, Low, Ian, and Yin, Zhewei. Universal relations in composite Higgs models. United States: N. p., 2019. Web. doi:10.1007/JHEP05(2019)170.
Liu, Da, Low, Ian, & Yin, Zhewei. Universal relations in composite Higgs models. United States. doi:10.1007/JHEP05(2019)170.
Liu, Da, Low, Ian, and Yin, Zhewei. Mon . "Universal relations in composite Higgs models". United States. doi:10.1007/JHEP05(2019)170. https://www.osti.gov/servlets/purl/1559967.
@article{osti_1559967,
title = {Universal relations in composite Higgs models},
author = {Liu, Da and Low, Ian and Yin, Zhewei},
abstractNote = {We initiate a phenomenological study of “universal relations” in composite Higgs models, which are dictated by nonlinear shift symmetries acting on the 125 GeV Higgs boson. These are relations among one Higgs couplings with two electroweak gauge bosons (HVV), two Higgses couplings with two electroweak gauge bosons (HHVV), one Higgs couplings with three electroweak gauge bosons (HVVV), as well as triple gauge boson couplings (TGC), which are all controlled by a single input parameter: the decay constant f of the pseudo-Nambu-Goldstone Higgs boson. Assuming custodial invariance in strong sector, the relation is independent of the symmetry breaking pattern in the UV, for an arbitrary symmetric coset G/H. The complete list of corrections to HVV, HHVV, HVVV and TGC couplings in composite Higgs models is presented to all orders in 1/f, and up to four-derivative level, without referring to a particular G/H. We then present several examples of universal relations in ratios of coefficients which could be extracted experimentally. Measuring the universal relation requires a precision sensitive to effects of dimension-8 operators in the effective Lagrangian and highlights the importance of verifying the tensor structure of HHVV interactions in the standard model, which remains untested to date.},
doi = {10.1007/JHEP05(2019)170},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2019,
place = {United States},
year = {2019},
month = {5}
}

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Works referenced in this record:

Effective field theory: A modern approach to anomalous couplings
journal, August 2013


Universal Imprints of a Pseudo-Nambu-Goldstone Higgs Boson
journal, December 2018


Composite Higgs and custodial SU(2)
journal, September 1984


Anomalous triple gauge couplings in the effective field theory approach at the LHC
journal, February 2017

  • Falkowski, Adam; González-Alonso, Martín; Greljo, Admir
  • Journal of High Energy Physics, Vol. 2017, Issue 2
  • DOI: 10.1007/JHEP02(2017)115

Improving the sensitivity of Higgs boson searches in the golden channel
journal, November 2011

  • Gainer, James S.; Kumar, Kunal; Low, Ian
  • Journal of High Energy Physics, Vol. 2011, Issue 11
  • DOI: 10.1007/JHEP11(2011)027

Composite Higgses
journal, May 2014


A global view on the Higgs self-coupling at lepton colliders
journal, February 2018

  • Di Vita, Stefano; Durieux, Gauthier; Grojean, Christophe
  • Journal of High Energy Physics, Vol. 2018, Issue 2
  • DOI: 10.1007/JHEP02(2018)178

Theory of Superconductivity
journal, December 1957


On the effect of resonances in composite Higgs phenomenology
journal, October 2011

  • Contino, Roberto; Pappadopulo, Duccio; Marzocca, David
  • Journal of High Energy Physics, Vol. 2011, Issue 10
  • DOI: 10.1007/JHEP10(2011)081

The leptonic future of the Higgs
journal, September 2017

  • Durieux, Gauthier; Grojean, Christophe; Gu, Jiayin
  • Journal of High Energy Physics, Vol. 2017, Issue 9
  • DOI: 10.1007/JHEP09(2017)014

A framework for Higgs characterisation
journal, November 2013

  • Artoisenet, P.; de Aquino, P.; Demartin, F.
  • Journal of High Energy Physics, Vol. 2013, Issue 11
  • DOI: 10.1007/JHEP11(2013)043

A periodic table of effective field theories
journal, February 2017

  • Cheung, Clifford; Kampf, Karol; Novotny, Jiri
  • Journal of High Energy Physics, Vol. 2017, Issue 2
  • DOI: 10.1007/JHEP02(2017)020

T Parity and the Littlest Higgs
journal, October 2004


The infrared structure of Nambu-Goldstone bosons
journal, October 2018


Learning from Higgs physics at future Higgs factories
journal, December 2017

  • Gu, Jiayin; Li, Honglei; Liu, Zhen
  • Journal of High Energy Physics, Vol. 2017, Issue 12
  • DOI: 10.1007/JHEP12(2017)153

Production of h h j j at the LHC
journal, March 2014


How to use the Standard Model effective field theory
journal, January 2016

  • Henning, Brian; Lu, Xiaochuan; Murayama, Hitoshi
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)023

SU(2) × U(1) breaking by vacuum misalignment
journal, March 1984


Minimally symmetric Higgs boson
journal, June 2015


Theoretical constraints on the Higgs effective couplings
journal, April 2010

  • Low, Ian; Rattazzi, Riccardo; Vichi, Alessandro
  • Journal of High Energy Physics, Vol. 2010, Issue 4
  • DOI: 10.1007/JHEP04(2010)126

Effective Field Theories from Soft Limits of Scattering Amplitudes
journal, June 2015


Composite Higgs scalars
journal, March 1984


On the impact of dimension-eight SMEFT operators on Higgs measurements
journal, February 2019

  • Hays, Chris; Martin, Adam; Sanz, Verónica
  • Journal of High Energy Physics, Vol. 2019, Issue 2
  • DOI: 10.1007/JHEP02(2019)123

Deep Learning and Its Application to LHC Physics
journal, October 2018


Strong Higgs interactions at a linear collider
journal, February 2014

  • Contino, Roberto; Grojean, Christophe; Pappadopulo, Duccio
  • Journal of High Energy Physics, Vol. 2014, Issue 2
  • DOI: 10.1007/JHEP02(2014)006

Broken Symmetries and the Masses of Gauge Bosons
journal, October 1964


Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current
journal, February 1965