# Standard Model thermodynamics across the electroweak crossover

## Abstract

Even though the Standard Model with a Higgs mass m{sub \tiny H}=125 GeV possesses no bulk phase transition, its thermodynamics still experiences a “soft point” at temperatures around T=160 GeV, with a deviation from ideal gas thermodynamics. Such a deviation may have an effect on precision computations of weakly interacting dark matter relic abundances if their mass is in the few TeV range, or on leptogenesis scenarios operating in this temperature range. By making use of results from lattice simulations based on a dimensionally reduced effective field theory, we estimate the relevant thermodynamic functions across the crossover. The results are tabulated in a numerical form permitting for their insertion as a background equation of state into cosmological particle production/decoupling codes. We find that Higgs dynamics induces a non-trivial “structure” visible e.g. in the heat capacity, but that in general the largest radiative corrections originate from QCD effects, reducing the energy density by a couple of percent from the free value even at T>160 GeV.

- Authors:

- Institute for Theoretical Physics, Albert Einstein Center, University of Bern, Sidlerstrasse 5, CH-3012 Bern (Switzerland)

- Publication Date:

- Sponsoring Org.:
- SCOAP3, CERN, Geneva (Switzerland)

- OSTI Identifier:
- 22458354

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2015; Journal Issue: 07; Other Information: PUBLISHER-ID: JCAP07(2015)035; OAI: oai:repo.scoap3.org:11161; Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ABUNDANCE; ACCURACY; CALCULATION METHODS; COSMOLOGY; ENERGY DENSITY; EQUATIONS OF STATE; GEV RANGE; HIGGS BOSONS; LATTICE FIELD THEORY; NONLUMINOUS MATTER; PARTICLE PRODUCTION; PHASE TRANSFORMATIONS; QUANTUM CHROMODYNAMICS; RADIATIVE CORRECTIONS; SPECIFIC HEAT; STANDARD MODEL; TEMPERATURE RANGE; TEV RANGE; THERMODYNAMICS

### Citation Formats

```
Laine, M., and Meyer, M..
```*Standard Model thermodynamics across the electroweak crossover*. United States: N. p., 2015.
Web. doi:10.1088/1475-7516/2015/07/035.

```
Laine, M., & Meyer, M..
```*Standard Model thermodynamics across the electroweak crossover*. United States. doi:10.1088/1475-7516/2015/07/035.

```
Laine, M., and Meyer, M.. Wed .
"Standard Model thermodynamics across the electroweak crossover". United States.
doi:10.1088/1475-7516/2015/07/035.
```

```
@article{osti_22458354,
```

title = {Standard Model thermodynamics across the electroweak crossover},

author = {Laine, M. and Meyer, M.},

abstractNote = {Even though the Standard Model with a Higgs mass m{sub \tiny H}=125 GeV possesses no bulk phase transition, its thermodynamics still experiences a “soft point” at temperatures around T=160 GeV, with a deviation from ideal gas thermodynamics. Such a deviation may have an effect on precision computations of weakly interacting dark matter relic abundances if their mass is in the few TeV range, or on leptogenesis scenarios operating in this temperature range. By making use of results from lattice simulations based on a dimensionally reduced effective field theory, we estimate the relevant thermodynamic functions across the crossover. The results are tabulated in a numerical form permitting for their insertion as a background equation of state into cosmological particle production/decoupling codes. We find that Higgs dynamics induces a non-trivial “structure” visible e.g. in the heat capacity, but that in general the largest radiative corrections originate from QCD effects, reducing the energy density by a couple of percent from the free value even at T>160 GeV.},

doi = {10.1088/1475-7516/2015/07/035},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 07,

volume = 2015,

place = {United States},

year = {Wed Jul 22 00:00:00 EDT 2015},

month = {Wed Jul 22 00:00:00 EDT 2015}

}