On the fate of the Standard Model at finite temperature

In this paper we revisit and update the computation of thermal corrections to the stability of the electroweak vacuum in the Standard Model. At zero temperature, we make use of the full two-loop effective potential, improved by three-loop beta functions with two-loop matching conditions. At finite temperature, we include one-loop thermal corrections together with resummation of daisy diagrams. We solve numerically — both at zero and finite temperature — the bounce equation, thus providing an accurate description of the thermal tunneling. Assuming a maximum temperature in the early Universe of the order of 10

^{18}

GeV, we find that the instability bound excludes values of the top mass M

_{t}

≳ 173.6 GeV, with M

_{h}

≃ 125 GeV and including uncertainties on the strong coupling. We discuss the validity and temperature-dependence of this bound in the early Universe, with a special focus on the reheating phase after inflation.

Note:

13 pages (two-column format), 13 figures

Higgs Physics
Standard Model
vacuum: stability
effective potential: finite temperature
effective potential: correction
correction: thermal
tunneling: thermal
radiative correction: higher-order
reheating
temperature: reheating

References(38)

Figures(17)

[1]

Investigating the near-criticality of the Higgs boson

Dario Buttazzo
(
- CERN and
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
Giuseppe Degrassi
(
- INFN, Rome3 and
- Rome III U.
)
,
Pier Paolo Giardino
(
- Pisa U. and
- CERN and
- INFN, Pisa
)
,
Gian F. Giudice
(
- CERN
)
,
Filippo Sala
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa and
- LBNL, Berkeley
)

et al.

- JHEP 12 (2013) 089
•
e-Print:
- 1307.3536
•
DOI:
- 10.1007/JHEP12(2013)089

[2]

The Fate of the False Vacuum. 1. Semiclassical Theory

Sidney R. Coleman
(
- Harvard U.
)

- Phys.Rev.D 15 (1977) 2929-2936,
- Phys.Rev.D 16 (1977) 1248 (erratum)
•
DOI:
- 10.1103/PhysRevD.16.1248

[3]

The Fate of the False Vacuum. 2. First Quantum Corrections

Curtis G. Callan, Jr.
(
- Princeton U.
)
,
Sidney R. Coleman
(
- Harvard U.
)

- Phys.Rev.D 16 (1977) 1762-1768
•
DOI:
- 10.1103/PhysRevD.16.1762

[4]

New Cosmological Constraints on the Higgs Boson and Top Quark Masses

Greg W. Anderson
(
- LBL, Berkeley and
- UC, Berkeley
)

- Phys.Lett.B 243 (1990) 265-270
•
DOI:
- 10.1016/0370-2693(90)90849-2

[5]

Instability of hot electroweak theory: bounds on m(H) and M(t)

Peter Brockway Arnold
(
- Argonne
)
,
Stamatis Vokos
(
- Argonne
)

- Phys.Rev.D 44 (1991) 3620-3627
•
DOI:
- 10.1103/PhysRevD.44.3620

[6]

Improved metastability bounds on the standard model Higgs mass

J.R. Espinosa
(
- DESY
)
,
M. Quiros
(
- CERN
)

- Phys.Lett.B 353 (1995) 257-266,
- Hamburg DESY - DESY-95-039 (95/03,rec.Apr.) 23 p. CERN Geneva - CERN-TH-95-018 (95/03,rec.Apr.) 23 p. Madrid Inst. Estruct. Mater. - IEM-FT-95-097 (95/03,rec.Apr.) 23 p
•
e-Print:
- hep-ph/9504241
•
DOI:
- 10.1016/0370-2693(95)00572-3

[7]

Cosmological implications of the Higgs mass measurement

J.R. Espinosa
(
- Madrid, IFT and
- Madrid, Autonoma U.
)
,
G.F. Giudice
(
- CERN
)
,
A. Riotto
(
- CERN and
- INFN, Padua
)

- JCAP 05 (2008) 002
•
e-Print:
- 0710.2484
•
DOI:
- 10.1088/1475-7516/2008/05/002

[8]

The cosmological Higgstory of the vacuum instability

Jose R. Espinosa
(
- Barcelona, IFAE and
- ICREA, Barcelona
)
,
Gian F. Giudice
(
- CERN
)
,
Enrico Morgante
(
- Geneva U., Dept. Theor. Phys. and
- Geneva U., CAP
)
,
Antonio Riotto
(
- Geneva U., Dept. Theor. Phys. and
- Geneva U., CAP
)
,
Leonardo Senatore
(
- Stanford U., ITP and
- KIPAC, Menlo Park and
- SLAC and
- Stanford U., Phys. Dept.
)

et al.

- JHEP 09 (2015) 174
•
e-Print:
- 1505.04825
•
DOI:
- 10.1007/JHEP09(2015)174

[9]

Electroweak Vacuum (In)Stability in an Inflationary Universe

Archil Kobakhidze
(
- Sydney U.
)
,
Alexander Spencer-Smith
(
- Sydney U.
)

- Phys.Lett.B 722 (2013) 130-134
•
e-Print:
- 1301.2846
•
DOI:
- 10.1016/j.physletb.2013.04.013

[10]

Generation of the Higgs Condensate and Its Decay after Inflation

Kari Enqvist
(
- Helsinki Inst. of Phys. and
- Helsinki U.
)
,
Tuukka Meriniemi
(
- Helsinki Inst. of Phys. and
- Helsinki U.
)
,
Sami Nurmi
(
- Helsinki Inst. of Phys. and
- Helsinki U.
)

- JCAP 10 (2013) 057
•
e-Print:
- 1306.4511
•
DOI:
- 10.1088/1475-7516/2013/10/057

[11]

Electroweak Vacuum Stability in light of BICEP2

- Phys.Rev.Lett. 112 (2014) 201801
•
e-Print:
- 1403.6786
•
DOI:
- 10.1103/PhysRevLett.112.201801

[12]

Higgs Dynamics during Inflation

Kari Enqvist
(
- Helsinki Inst. of Phys. and
- Helsinki U.
)
,
Tuukka Meriniemi
(
- Helsinki Inst. of Phys. and
- Helsinki U.
)
,
Sami Nurmi
(
- Helsinki Inst. of Phys. and
- Helsinki U.
)

- JCAP 07 (2014) 025
•
e-Print:
- 1404.3699
•
DOI:
- 10.1088/1475-7516/2014/07/025

[13]

The Higgs vacuum is unstable

Archil Kobakhidze
(
- Sydney U.
)
,
Alexander Spencer-Smith
(
- Sydney U.
)

e-Print:
- 1404.4709

[14]

Spacetime curvature and the Higgs stability during inflation

Matti Herranen
(
- Bohr Inst.
)
,
Tommi Markkanen
(
- Helsinki Inst. of Phys. and
- Helsinki U.
)
,
Sami Nurmi
(
- Helsinki Inst. of Phys. and
- Helsinki U.
)
,
Arttu Rajantie
(
- Imperial Coll., London
)

- Phys.Rev.Lett. 113 (2014) 21, 211102
•
e-Print:
- 1407.3141
•
DOI:
- 10.1103/PhysRevLett.113.211102

[15]

Inflationary cosmology and the standard model Higgs with a small Hubble induced mass

Kohei Kamada
(
- ITPP, Lausanne
)

- Phys.Lett.B 742 (2015) 126-135
•
e-Print:
- 1409.5078
•
DOI:
- 10.1016/j.physletb.2015.01.024

[16]

On stability of electroweak vacuum during inflation

Andrey Shkerin
(
- ITPP, Lausanne and
- Moscow, INR
)
,
Sergey Sibiryakov
(
- ITPP, Lausanne and
- Moscow, INR and
- CERN
)

- Phys.Lett.B 746 (2015) 257-260
•
e-Print:
- 1503.02586
•
DOI:
- 10.1016/j.physletb.2015.05.012

[17]

Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments

ATLAS and
CMS

Collaborations

•

Georges Aad
(
- Marseille, CPPM
)

et al.

- Phys.Rev.Lett. 114 (2015) 191803
•
e-Print:
- 1503.07589
•
DOI:
- 10.1103/PhysRevLett.114.191803

[18]

The top quark and Higgs boson masses and the stability of the electroweak vacuum

S. Alekhin
(
- Serpukhov, IHEP
)
,
A. Djouadi
(
- Orsay, LPT and
- CERN
)
,
S. Moch
(
- DESY, Zeuthen
)

- Phys.Lett.B 716 (2012) 214-219
•
e-Print:
- 1207.0980
•
DOI:
- 10.1016/j.physletb.2012.08.024

[19]

Lifetime of the electroweak vacuum and sensitivity to Planck scale physics

Vincenzo Branchina
(
- Catania U. and
- INFN, Catania
)
,
Emanuele Messina
(
- Catania U. and
- INFN, Catania
)
,
Marc Sher
(
- William-Mary Coll.
)

- Phys.Rev.D 91 (2015) 013003
•
e-Print:
- 1408.5302
•
DOI:
- 10.1103/PhysRevD.91.013003

[20]

On the metastability of the standard model vacuum

- Nucl.Phys.B 609 (2001) 387-409
•
e-Print:
- hep-ph/0104016
•
DOI:
- 10.1016/S0550-3213(01)00302-9

[21]

Cosmological Consequences of a First Order Phase Transition in the SU(5) Grand Unified Model

Alan H. Guth
(
- MIT, LNS and
- SLAC
)
,
Erick J. Weinberg
(
- Columbia U. and
- SLAC
)

- Phys.Rev.D 23 (1981) 876
•
DOI:
- 10.1103/PhysRevD.23.876

[22]

Why should we care about the top quark Yukawa coupling?

Fedor Bezrukov
(
- CERN and
- Connecticut U. and
- RIKEN BNL
)
,
Mikhail Shaposhnikov
(
- ITPP, Lausanne
)

- J.Exp.Theor.Phys. 120 (2015) 335-343,
- Zh.Eksp.Teor.Fiz. 147 (2015) 389-398
•
e-Print:
- 1411.1923
•
DOI:
- 10.1134/S1063776115030152

[23]

Particle physics and inflationary cosmology

Andrei D. Linde
(
- Stanford U., Phys. Dept.
)

- Contemp.Concepts Phys. 5 (1990) 1-362,
- Chur, Switzerland: Harwood (1990) 362 p. (Contemporary concepts in physics, 5)
•
e-Print:
- hep-th/0503203

[24]

Reheating in Inflationary Cosmology: Theory and Applications

Rouzbeh Allahverdi
(
- New Mexico U.
)
,
Robert Brandenberger
(
- McGill U.
)
,
Francis-Yan Cyr-Racine
(
- British Columbia U.
)
,
Anupam Mazumdar
(
- Lancaster U. and
- Bohr Inst.
)

- Ann.Rev.Nucl.Part.Sci. 60 (2010) 27-51
•
e-Print:
- 1001.2600
•
DOI:
- 10.1146/annurev.nucl.012809.104511

[25]

Singapore, Singapore: 697 p

L.F. Abbott
,
S.Y. Pi

1-25 of 38
1
2
25 / page