Abstract
We present a first-principles numerical computation of the baryon asymmetry in electroweak-scale baryogenesis. For the scenario of Cold Baryogenesis, we consider a one fermion-family reduced CP-violating two Higgs-doublet model, including a classical SU(2)-gauge/two-Higgs sector coupled to one quantum left-handed fermion doublet and two right-handed singlets. Separately, the C(CP) breaking of the two-Higgs potential and the C and P breaking of the gauge-fermion interactions do not provide a baryon asymmetry. Only when combined does baryogenesis occur. Through large-scale computer simulations, we compute the asymmetry for one particularly favourable scalar potential. The numerical signal is at the boundary of what is numerically discernible with the available computer resources, but we tentatively find an asymmetry of |η| ≤ 3.5 × 10−7.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
V.A. Kuzmin, V.A. Rubakov and M.E. Shaposhnikov, On the Anomalous Electroweak Baryon Number Nonconservation in the Early Universe, Phys. Lett. B 155 (1985) 36 [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XIII. Cosmological parameters, arXiv:1502.01589 [INSPIRE].
K. Kajantie, M. Laine, K. Rummukainen and M.E. Shaposhnikov, Generic rules for high temperature dimensional reduction and their application to the standard model, Nucl. Phys. B 458 (1996) 90 [hep-ph/9508379] [INSPIRE].
M. D’Onofrio, K. Rummukainen and A. Tranberg, Sphaleron Rate in the Minimal Standard Model, Phys. Rev. Lett. 113 (2014) 141602 [arXiv:1404.3565] [INSPIRE].
K. Kajantie, M. Laine, K. Rummukainen and M.E. Shaposhnikov, The electroweak phase transition: A nonperturbative analysis, Nucl. Phys. B 466 (1996) 189 [hep-lat/9510020] [INSPIRE].
P.H. Damgaard, D. O’Connell, T.C. Petersen and A. Tranberg, Constraints on New Physics from Baryogenesis and Large Hadron Collider Data, Phys. Rev. Lett. 111 (2013) 221804 [arXiv:1305.4362] [INSPIRE].
G.D. Moore and K. Rummukainen, Electroweak bubble nucleation, nonperturbatively, Phys. Rev. D 63 (2001) 045002 [hep-ph/0009132] [INSPIRE].
M. Hindmarsh, S.J. Huber, K. Rummukainen and D.J. Weir, Gravitational waves from the sound of a first order phase transition, Phys. Rev. Lett. 112 (2014) 041301 [arXiv:1304.2433] [INSPIRE].
M. Hindmarsh, S.J. Huber, K. Rummukainen and D.J. Weir, Numerical simulations of acoustically generated gravitational waves at a first order phase transition, arXiv:1504.03291 [INSPIRE].
T. Brauner, O. Taanila, A. Tranberg and A. Vuorinen, Temperature Dependence of Standard Model CP-violation, Phys. Rev. Lett. 108 (2012) 041601 [arXiv:1110.6818] [INSPIRE].
T. Brauner, O. Taanila, A. Tranberg and A. Vuorinen, Computing the temperature dependence of effective CP-violation in the standard model, JHEP 11 (2012) 076 [arXiv:1208.5609] [INSPIRE].
K. Kainulainen, T. Prokopec, M.G. Schmidt and S. Weinstock, First principle derivation of semiclassical force for electroweak baryogenesis, JHEP 06 (2001) 031 [hep-ph/0105295] [INSPIRE].
T. Prokopec, M.G. Schmidt and S. Weinstock, Transport equations for chiral fermions to order h-bar and electroweak baryogenesis. Part II, Annals Phys. 314 (2004) 267 [hep-ph/0406140] [INSPIRE].
T. Prokopec, M.G. Schmidt and S. Weinstock, Transport equations for chiral fermions to order h bar and electroweak baryogenesis. Part 1, Annals Phys. 314 (2004) 208 [hep-ph/0312110] [INSPIRE].
J. García-Bellido, D.Y. Grigoriev, A. Kusenko and M.E. Shaposhnikov, Nonequilibrium electroweak baryogenesis from preheating after inflation, Phys. Rev. D 60 (1999) 123504 [hep-ph/9902449] [INSPIRE].
L.M. Krauss and M. Trodden, Baryogenesis below the electroweak scale, Phys. Rev. Lett. 83 (1999) 1502 [hep-ph/9902420] [INSPIRE].
E.J. Copeland, D. Lyth, A. Rajantie and M. Trodden, Hybrid inflation and baryogenesis at the TeV scale, Phys. Rev. D 64 (2001) 043506 [hep-ph/0103231] [INSPIRE].
A. Rajantie, P.M. Saffin and E.J. Copeland, Numerical simulations of electroweak baryogenesis at preheating, hep-ph/0010347 [INSPIRE].
A. Tranberg and J. Smit, Baryon asymmetry from electroweak tachyonic preheating, JHEP 11 (2003) 016 [hep-ph/0310342] [INSPIRE].
J. García-Bellido, M. Garcia-Perez and A. Gonzalez-Arroyo, Chern-Simons production during preheating in hybrid inflation models, Phys. Rev. D 69 (2004) 023504 [hep-ph/0304285] [INSPIRE].
A. Tranberg and J. Smit, Simulations of cold electroweak baryogenesis: Dependence on Higgs mass and strength of CP-violation, JHEP 08 (2006) 012 [hep-ph/0604263] [INSPIRE].
A. Tranberg, J. Smit and M. Hindmarsh, Simulations of cold electroweak baryogenesis: Finite time quenches, JHEP 01 (2007) 034 [hep-ph/0610096] [INSPIRE].
A. Tranberg, A. Hernandez, T. Konstandin and M.G. Schmidt, Cold electroweak baryogenesis with Standard Model CP-violation, Phys. Lett. B 690 (2010) 207 [arXiv:0909.4199] [INSPIRE].
N. Turok and J. Zadrozny, Dynamical generation of baryons at the electroweak transition, Phys. Rev. Lett. 65 (1990) 2331 [INSPIRE].
N. Turok and J. Zadrozny, Electroweak baryogenesis in the two doublet model, Nucl. Phys. B 358 (1991) 471 [INSPIRE].
A. Diaz-Gil, J. García-Bellido, M. Garcia Perez and A. Gonzalez-Arroyo, Magnetic field production during preheating at the electroweak scale, Phys. Rev. Lett. 100 (2008) 241301 [arXiv:0712.4263] [INSPIRE].
A. Tranberg and B. Wu, Cold Electroweak Baryogenesis in the Two Higgs-Doublet Model, JHEP 07 (2012) 087 [arXiv:1203.5012] [INSPIRE].
J. Smit, Effective CP-violation in the standard model, JHEP 09 (2004) 067 [hep-ph/0407161] [INSPIRE].
L.L. Salcedo, Leading order one-loop CP and P violating effective action in the Standard Model, Phys. Lett. B 700 (2011) 331 [arXiv:1102.2400] [INSPIRE].
C. Garcia-Recio and L.L. Salcedo, CP violation in the effective action of the Standard Model, JHEP 07 (2009) 015 [arXiv:0903.5494] [INSPIRE].
G. Aarts and J. Smit, Real time dynamics with fermions on a lattice, Nucl. Phys. B 555 (1999) 355 [hep-ph/9812413] [INSPIRE].
G. Aarts and J. Smit, Particle production and effective thermalization in inhomogeneous mean field theory, Phys. Rev. D 61 (2000) 025002 [hep-ph/9906538] [INSPIRE].
S. Borsányi and M. Hindmarsh, Low-cost fermions in classical field simulations, Phys. Rev. D 79 (2009) 065010 [arXiv:0809.4711] [INSPIRE].
Z.-G. Mou, P.M. Saffin and A. Tranberg, Ensemble fermions for electroweak dynamics and the fermion preheating temperature, JHEP 11 (2013) 097 [arXiv:1307.7924] [INSPIRE].
P.M. Saffin and A. Tranberg, Dynamical simulations of electroweak baryogenesis with fermions, JHEP 02 (2012) 102 [arXiv:1111.7136] [INSPIRE].
A. Tranberg and B. Wu, On using Cold Baryogenesis to constrain the Two-Higgs Doublet Model, JHEP 01 (2013) 046 [arXiv:1210.1779] [INSPIRE].
Particle Data Group collaboration, K.A. Olive et al., Review of Particle Physics, Chin. Phys. C 38 (2014) 090001.
A.W. El Kaffas, W. Khater, O.M. Ogreid and P. Osland, Consistency of the two Higgs doublet model and CP-violation in top production at the LHC, Nucl. Phys. B 775 (2007) 45 [hep-ph/0605142] [INSPIRE].
M. van der Meulen, D. Sexty, J. Smit and A. Tranberg, Chern-Simons and winding number in a tachyonic electroweak transition, JHEP 02 (2006) 029 [hep-ph/0511080] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1505.02692
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Mou, ZG., Saffin, P.M. & Tranberg, A. Cold Baryogenesis from first principles in the two-Higgs doublet model with fermions. J. High Energ. Phys. 2015, 163 (2015). https://doi.org/10.1007/JHEP06(2015)163
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2015)163