How natural is a small<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>θ</mml:mi></mml:mrow><mml:mrow><mml:mi>¯</mml:mi></mml:mrow></mml:mover></mml:mrow></mml:mrow></mml:math>in left-right supersymmetry models?

Hamzaoui, C.; Pospelov, Maxim

doi:10.1103/physrevd.65.056002

Cited by 5 publications

(7 citation statements)

References 56 publications

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“…The contribution of the first two operators to d n could be important a priori [35]. We note, however, that the CP-violating phases induced under renormalization are the same for the d and s quarks to very high accuracy within the framework of a flavor-blind soft-breaking sector.…”

Section: Neutron Edmmentioning

confidence: 82%

“…There are many different types of four-fermion operators generated via the vertex correction mechanism that contribute to the neutron EDM at leading order: C ds , C sd , C bd , C db , C bs , and C sb . The contribution of the first two operators to d n could be important a priori [35]. We note, however, that the CP-violating phases induced under renormalization are the same for the d and s quarks to very high accuracy within the framework of a flavor-blind soft-breaking sector.…”

Section: Neutron Edmmentioning

confidence: 82%

“…These operators represent a subclass of the larger set of all possible CP-odd flavor-conserving four-fermion operators considered in [33,34,35]. Note that the b-quark is heavy compared to the scale of 1 GeV and thus can be integrated out, producing new dimension 7 operatorsψ…”

Section: The Structure Of the Low Energy Lagrangianmentioning

confidence: 99%

“…where i, j run over flavor indices and the second index always indicates the fermion flavor that enters (2.4) via a pseudoscalar bilinear. These operators represent a subclass of the larger set of all possible CP-odd flavor-conserving four-fermion operators considered in [33,34,35]. Note that the b-quark is heavy compared to the scale of 1 GeV and thus can be integrated out, producing new dimension 7 operators ψi ψ i (G a µν Gµν,a ) and ψi iγ 5 ψ i (G a µν G µν,a ) and leading to new higher loop contributions to d i , di and w. With this procedure in mind, we prefer to keep the coefficients C bi and C ib explicitly so that integrating out the b-quarks is interpreted as part of taking the corresponding matrix element.…”

Section: The Structure Of the Low Energy Lagrangianmentioning

confidence: 99%

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Electric dipole moments in the MSSM at large tanβ

Lebedev²,

et al. 2004

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Within the minimal supersymmetric standard model (MSSM), the large tan β regime can lead to important modifications in the pattern of CP-violating sources contributing to low energy electric dipole moments (EDMs). In particular, four-fermion CP-violating interactions induced by Higgs exchange should be accounted for alongside the constituent EDMs of quarks and electrons. To this end, we present a comprehensive analysis of three low energy EDM observables -namely the EDMs of thallium, mercury and the neutronat large tan β, in terms of one-and two-loop contributions to the constituent EDMs and four-fermion interactions. We concentrate on the constrained MSSM as well as the MSSM with non-universal Higgs masses, and include the CP-violating phases of µ and A. Our results indicate that the atomic EDMs receive significant corrections from four-fermion operators, especially when Im(A) is the only CP-violating source, whereas the neutron EDM remains relatively insensitive to these effects. As a consequence, in a large portion of the parameter space, one cannot infer a separate bound on the electron EDM via the experimental constraint on the thallium EDM. Furthermore, we find that the electron EDM can be greatly reduced due to the destructive interference of one-and two-loop contributions with the latter being dominated by virtual staus.

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Section: Neutron Edmmentioning

confidence: 82%

Section: Neutron Edmmentioning

confidence: 82%

Section: The Structure Of the Low Energy Lagrangianmentioning

confidence: 99%

Section: The Structure Of the Low Energy Lagrangianmentioning

confidence: 99%

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Electric dipole moments in the MSSM at large tanβ

Lebedev²,

et al. 2004

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“…For the four-fermion operators, the sum runs over all light fermions, and one could in principle include additional tensor structures [32,33,34,35]. In practice, since these operators require a double helicity flip, implying additional (m q /v EW ) 2 suppression factors, they are generally negligible.…”

Section: An Edm Summarymentioning

confidence: 99%

CP-odd phase correlations and electric dipole moments

et al. 2005

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We revisit the constraints imposed by electric dipole moments (EDMs) of nucleons and heavy atoms on new CP-violating sources within supersymmetric theories. We point out that certain two-loop renormalization group corrections induce significant mixing between the basis-invariant CP-odd phases. In the framework of the constrained minimal supersymmetric standard model, the CP-odd invariant related to the soft trilinear A-phase at the grand unified theory (GUT) scale, A , induces nontrivial and distinct CP-odd phases for the three gaugino masses at the weak scale. The latter give one-loop contributions to EDMs enhanced by tan, and can provide the dominant contribution to the electron EDM induced by A . We perform a detailed analysis of the EDM constraints within the constrained minimal supersymmetric standard model, exhibiting the reach, in terms of sparticle spectra, which may be obtained assuming generic phases, as well as the limits on the CP-odd phases for some specific parameter points where detailed phenomenological studies are available. We also illustrate how this reach will expand with results from the next generation of experiments which are currently in development.

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Modular invariance and the QCD angle

Feruglio

Струмиа

Titov

2023

J. High Energ. Phys.

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String compactifications on an orbi-folded torus with complex structure give rise to chiral fermions, spontaneously broken CP, modular invariance. We show that this allows simple effective theories of flavour and CP where: i) the QCD angle vanishes; ii) the CKM phase is large; iii) quark and lepton masses and mixings can be reproduced up to order one coefficients. We implement such general paradigm in supersymmetry or supergravity, with modular forms or functions, with or without heavy colored states.

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How natural is a smallθ¯in left-right supersymmetry models?

Cited by 5 publications

References 56 publications

Electric dipole moments in the MSSM at large tanβ

Electric dipole moments in the MSSM at large tanβ

CP-odd phase correlations and electric dipole moments

Modular invariance and the QCD angle

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