Computing the temperature dependence of effective CP violation in the standard model

Tomas Brauner; Olli Taanila; Anders Tranberg; Aleksi Vuorinen

doi:10.1007/jhep11(2012)076

Computing the temperature dependence of effective CP violation in the standard model

Tomas Brauner, Olli Taanila, Anders Tranberg, Aleksi Vuorinen

15 Citations (Scopus)

Abstract

CP violation in the standard model originates from the Cabibbo-Kobayashi- Maskawa mixing matrix. Upon integrating all fermions out of the theory, its effects are captured by a series of effective nonrenormalizable operators for the bosonic gauge and Higgs fields. We compute the CP-violating part of the effective action to the leading nontrivial, sixth order in the covariant gradient expansion as a function of temperature. In the limit of zero temperature, our result addresses the discrepancy between two independent calculations existing in the literature [1, 2]. We find that CP violation in the standard model is strongly suppressed at high temperature, but that at T≲ 1GeV it may be relevant for certain scenarios of baryogenesis. We also identify a selected class of operators at the next, eighth order and discuss the convergence of the covariant gradient expansion.

Original language	English
Journal	Journal of High Energy Physics (Online)
Volume	76
Issue number	11
Pages (from-to)	1-32
Number of pages	32
ISSN	1126-6708
DOIs	https://doi.org/10.1007/jhep11(2012)076
Publication status	Published - 2012

Access to Document

10.1007/jhep11(2012)076

Cite this

@article{3123e46c6b3c4b77808ec21b23e09a55,

title = "Computing the temperature dependence of effective CP violation in the standard model",

abstract = "CP violation in the standard model originates from the Cabibbo-Kobayashi- Maskawa mixing matrix. Upon integrating all fermions out of the theory, its effects are captured by a series of effective nonrenormalizable operators for the bosonic gauge and Higgs fields. We compute the CP-violating part of the effective action to the leading nontrivial, sixth order in the covariant gradient expansion as a function of temperature. In the limit of zero temperature, our result addresses the discrepancy between two independent calculations existing in the literature [1, 2]. We find that CP violation in the standard model is strongly suppressed at high temperature, but that at T≲ 1GeV it may be relevant for certain scenarios of baryogenesis. We also identify a selected class of operators at the next, eighth order and discuss the convergence of the covariant gradient expansion.",

keywords = "CP violation, Thermal Field Theory, Standard Model",

author = "Tomas Brauner and Olli Taanila and Anders Tranberg and Aleksi Vuorinen",

year = "2012",

doi = "10.1007/jhep11(2012)076",

language = "English",

volume = "76",

pages = "1--32",

journal = "Journal of High Energy Physics (Online)",

issn = "1126-6708",

publisher = "Springer",

number = "11",

}

TY - JOUR

T1 - Computing the temperature dependence of effective CP violation in the standard model

AU - Brauner, Tomas

AU - Taanila, Olli

AU - Tranberg, Anders

AU - Vuorinen, Aleksi

PY - 2012

Y1 - 2012

N2 - CP violation in the standard model originates from the Cabibbo-Kobayashi- Maskawa mixing matrix. Upon integrating all fermions out of the theory, its effects are captured by a series of effective nonrenormalizable operators for the bosonic gauge and Higgs fields. We compute the CP-violating part of the effective action to the leading nontrivial, sixth order in the covariant gradient expansion as a function of temperature. In the limit of zero temperature, our result addresses the discrepancy between two independent calculations existing in the literature [1, 2]. We find that CP violation in the standard model is strongly suppressed at high temperature, but that at T≲ 1GeV it may be relevant for certain scenarios of baryogenesis. We also identify a selected class of operators at the next, eighth order and discuss the convergence of the covariant gradient expansion.

AB - CP violation in the standard model originates from the Cabibbo-Kobayashi- Maskawa mixing matrix. Upon integrating all fermions out of the theory, its effects are captured by a series of effective nonrenormalizable operators for the bosonic gauge and Higgs fields. We compute the CP-violating part of the effective action to the leading nontrivial, sixth order in the covariant gradient expansion as a function of temperature. In the limit of zero temperature, our result addresses the discrepancy between two independent calculations existing in the literature [1, 2]. We find that CP violation in the standard model is strongly suppressed at high temperature, but that at T≲ 1GeV it may be relevant for certain scenarios of baryogenesis. We also identify a selected class of operators at the next, eighth order and discuss the convergence of the covariant gradient expansion.

KW - CP violation

KW - Thermal Field Theory

KW - Standard Model

U2 - 10.1007/jhep11(2012)076

DO - 10.1007/jhep11(2012)076

M3 - Journal article

SN - 1126-6708

VL - 76

SP - 1

EP - 32

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 11

ER -

Computing the temperature dependence of effective CP violation in the standard model

Abstract

Access to Document

Fingerprint

Cite this