REVIEW
Electroweak Baryogenesis and Standard Model CP Violation
High Energy Physics - Phenomenology · Submitted 20 Apr 1994 · 24 references
Pith's verdict: A solid, honest negative result on CKM-driven electroweak baryogenesis; the calculation holds, but the abstract's blanket exclusion outruns what was computed.
T0 · AI review
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Referee report
The paper
The paper claims
The quark-mixing phase cannot by itself generate the universe's baryon asymmetry: QCD collisions decohere the quasiparticles scattering off the electroweak bubble wall, suppressing the predicted asymmetry to a negligible level.
The reading
What carries the argument
The load-bearing object is the quasiparticle coherence length $�ell=1/(6�gamma)$, with $�gamma$ the QCD damping rate. The paper replaces the sharp bubble wall by a damped propagation problem: left- and right-handed quasiparticles have complex momenta whose imaginary parts attenuate any amplitude as $�exp(-L/2�ell)$ over a path length $L$. It then builds a diagrammatic expansion for the reflection matrix in which each chirality flip comes from the quark mass matrix and each flavor change from charged-Higgs exchange in the plasma. The same physics is cross-checked with a 'soap bubble' model that replaces the bubble by an exponentially decaying mass profile $M e^{-z/�ell}$. The coherence length does the work of confining the calculation to a surface layer and of generating the powers of $M�ell$ and $�delta p�,�ell$ that suppress the asymmetry.
Extended reading notes
Core claim
The central claim is that QCD damping, interpreted as quantum decoherence, reduces the reflection asymmetry of the original mechanism to a negligible amount. Solving an effective Dirac equation with complex momenta $P_L$ and $P_R$ whose imaginary parts encode damping, the paper shows that only a thin outer layer of the bubble, of thickness $�ell$, contributes coherently to the reflected wave. The leading contributions to the left-right asymmetry $�Delta(�omega)$ appear at order $�ell^7$ and $�ell^9$ and are proportional to the standard CP-odd determinant $�det C$ and to an analogous invariant $D$; every quark-mass insertion or flavor-changing insertion brings a factor of $�ell$. Numerically the paper quotes $n_B/s < 6�times 10^{-27}$, to be compared with the observed $(4$--$6)�times 10^{-11}$. It concludes that total reflection of strange quarks, the ingredient the original estimate relied on, is impossible once damping is included, and that any electroweak baryogenesis mechanism using the quark-mixing phase alone is ruled out.
Load-bearing premise
The load-bearing premise is that the QCD damping rate $�gamma$ can be treated as a hard coherence length $�ell=1/(6�gamma)$ and that every amplitude is attenuated by $�exp(-L/2�ell)$ along its path; if off-diagonal quantum coherence survives longer than $1/�gamma$, the power counting and the numerical bound collapse.
Editorial extensions
If this is right
- If the argument is right, the Standard Model's quark-mixing phase cannot be the origin of the baryon asymmetry, even in extensions that leave the light-quark sector unchanged; a new CP-violating source is required.
- Only a layer of thickness $�ell$ at the bubble surface contributes to coherent reflection, so mechanisms that imagine quasiparticles probing the bubble interior over distances $1/m_q$ are excluded.
- A realistic wall of thickness $10$--$100/T$ suppresses the asymmetry further, through the reduced mass increment over $�ell$ and a WKB factor for thick walls.
- Top-quark-mediated mechanisms are not subject to the same suppression because $�ell m_t �simeq 1$, but they must introduce a new source of CP violation.
- Two-Higgs-doublet and supersymmetric scenarios with new CP phases are left viable; the result narrows the target to those extensions.
Reading between the lines
- A useful extension is to treat the result as a constraint on new light-quark CP phases: any such phase must act through classical transport or through top quarks, not through coherent light-quark interference across the wall.
- The analysis suggests a broader test: compare coherent and Boltzmann treatments of any wall-scattering baryogenesis model; where the two differ by powers of $m_q�ell$, the coherent treatment should be discarded.
- A real-time lattice or spectral-function calculation of the quasiparticle width and off-diagonal density matrix would turn the assumed hard cutoff into a checkable input.
- If the suppression holds, baryogenesis becomes a complementary probe of beyond-Standard-Model CP violation, alongside electric dipole moment searches.
Original abstract
We analyze the mechanism of electroweak baryogenesis proposed by Farrar and Shaposhnikov in which the phase of the CKM mixing matrix is the only source of $CP$ violation. This mechanism is based on a phase separation of baryons via the scattering of quasiparticles by the wall of an expanding bubble produced at the electroweak phase transition. In agreement with the recent work of Gavela, Hern\'andez, Orloff and P\`ene, we conclude that QCD damping effects reduce the asymmetry produced to a negligible amount. We interpret the damping as quantum decoherence. We compute the asymmetry analytically. Our analysis reflects the observation that only a thin, outer layer of the bubble contributes to the coherent scattering of the quasiparticles. The generality of our arguments rules out any mechanism of electroweak baryogenesis that does not make use of a new source of $CP$ violation.
The compiled record
The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
The abstract, sentence by sentence
We analyze the mechanism of electroweak baryogenesis proposed by Farrar and Shaposhnikov in which the phase of the CKM mixing matrix is the only source of $CP$ violation. This mechanism is based on a phase separation of baryons via the scattering of quasiparticles by the wall of an expanding bubble produced at the electroweak phase transition. In agreement with the recent work of Gavela, Hern\'andez, Orloff and P\`ene, we conclude that QCD damping effects reduce the asymmetry produced to a negligible amount. We interpret the damping as quantum decoherence. We compute the asymmetry analytically. Our analysis reflects the observation that only a thin, outer layer of the bubble contributes to the coherent scattering of the quasiparticles. The generality of our arguments rules out any mechanism of electroweak baryogenesis that does not make use of a new source of $CP$ violation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyze the mechanism of electroweak baryogenesis proposed by Farrar and Shaposhnikov in which the phase of the CKM mixing matrix is the only source of $CP$ violation. | contribution 0.63 | 0.53 | 0.05 | asserted 0.86 |
| s1 | This mechanism is based on a phase separation of baryons via the scattering of quasiparticles by the wall of an expanding bubble produced at the electroweak phase transition. | background 0.80 | 0.08 | 0.03 | asserted 1.00 |
| s2 | In agreement with the recent work of Gavela, Hern\'andez, Orloff and P\`ene, we conclude that QCD damping effects reduce the asymmetry produced to a negligible amount. | result 1.00 | 0.69 | 0.69 | asserted 0.99 |
| s3 | We interpret the damping as quantum decoherence. | interpretation 1.00 | 0.74 | 0.05 | asserted 1.00 |
| s4 | We compute the asymmetry analytically. | method 0.85 | 0.95 | 0.04 | asserted 1.00 |
| s5 | Our analysis reflects the observation that only a thin, outer layer of the bubble contributes to the coherent scattering of the quasiparticles. | interpretation 0.46 | 0.80 | 0.05 | asserted 0.98 |
| s6 | The generality of our arguments rules out any mechanism of electroweak baryogenesis that does not make use of a new source of $CP$ violation. | interpretation 0.91 | 0.67 | 0.73 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v1
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- references and citing sentences
- relations to other papers
- P abstract
- S sections
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Figures
Showing 5 of the paper's 6 figures. See all figures in the PDF ↗ Figures reproduced from arXiv:hep-ph/9404302 by the authors.
References
How later papers used it
137 later papers cite it
2 later papers by other authors are listed below: 2 used its method or tool.
Uses its method or tool 2 of 3 papers with this label
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Used the techniques developed in this paper for electroweak baryogenesis to consider the amplitude of the χ1ℓ transition to χ2ℓ̅.
Leptogenesis via Varying Weinberg Operator: a Semi-Classical Approach (2018) · 0.99 · paraphrased: the licence does not allow quoting
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[ref] , we iteratively solve the Dirac equation [ref] when the Dirac mass term $ℳ$ is smaller than the damping rate.
Electroweak-like Baryogenesis with New Chiral Matter (2021) · Perturbative regime ((i)-(A)) · 1.00
How the literature uses it
129 arXiv papers cite this in 157 sentences
Papers citing it · 117 sentences without a confident label
Uses its method or tool 3 papers
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We closely follow the techniques presented in [ref] .
The minimal fermionic model of electroweak baryogenesis · The baryon asymmetry: an analytic estimate · 1.00
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The resultant reflection matrix $R_ℓ$, corresponding to the reflection matrix $R̅_LR$ in [ref] , is R_ℓ(z_0) = i ∫_0^+∞ dz_1 e^-z_1/L e^ i k_out z_1 M^†_ℓ (z_0+z_1) e^-i k_in z_1 .
Leptogenesis via Varying Weinberg Operator: a Semi-Classical Approach · Lepton asymmetry in the semi-classical approximation · 0.89
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[ref] , we iteratively solve the Dirac equation [ref] when the Dirac mass term $ℳ$ is smaller than the damping rate.
Electroweak-like Baryogenesis with New Chiral Matter · Perturbative regime ((i)-(A)) · 1.00
Cites it as support 5 papers
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Furthermore, even if the phase transition is a SFOPT, the resulting baryon asymmetry from the EWBG in the minimal SM has been found to be much smaller than the observed value due to the tiny Yukawa couplings of quarks and the CKM mixing [ref] .
ALP-Assisted Strong First-Order Electroweak Phase Transition and Baryogenesis · Introduction · 0.96
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And most relevantly for this review, the amount of matter-antimatter asymmetry allowed in the Standard Model is fundamentally insufficient to explain the observed matter-antimatter asymmetry of the universe [ref] .
Quark flavour physics: status and future prospects · Introduction · 0.98
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First, for a 125 GeV Higgs boson, the electroweak phase transition is a smooth crossover [ref] , failing to provide the required departure from thermal equilibrium.
Intrinsic Properties of Large CP Violation in the Complex Two-Higgs-Doublet Model · Introduction · 0.96
Cites it as background 22 papers
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The VIA-method made its first appearance in [ref] .
CP-violating transport theory for Electroweak Baryogenesis with thermal corrections · Introduction · 0.96
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Electroweak baryogenesis requires two ingredients that go beyond the SM: * New sources of $CP$ violation [ref] ; * Modification of the EWPT such that it is strongly first order (rather than a smooth crossover, as is the case in the SM [ref] ).
$CP$ violation from $\tau$, $t$ and $b$ dimension-6 Yukawa couplings -- interplay of baryogenesis, EDM and Higgs physics · The baryon asymmetry $Y_B$ · 0.87
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Two commonly used frameworks have been developed to formulate the transport equation: the semi-classical approach under the WKB approximation [ref] , and the VEV-insertion approximation (VIA) method [ref] .
The Discriminant Power of Bubble Wall Velocities: Gravitational Waves and Electroweak Baryogenesis · $v_w$-Dependence of Baryon Number Generation · 0.90
Discussion
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