Dimension-5<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math>-odd operators: QCD mixing and renormalization

Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Gupta, Rajan; Mereghetti, Emanuele; Yoon, Boram

doi:10.1103/physrevd.92.114026

Cited by 56 publications

(62 citation statements)

References 78 publications

(130 reference statements)

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“…Unfortunately no lattice-QCD calculations exist for the qCEDM contributions (see ref. [38] for preliminary steps towards such a calculation). Instead, the most-used results are obtained with QCD sum rules [57][58][59][60] which are consistent with a chiral perturbation theory (χPT) calculation combined with naive dimensional analysis (NDA) [61].…”

Section: Nucleon Edmsmentioning

confidence: 99%

Direct and indirect constraints on CP-violating Higgs-quark and Higgs-gluon interactions

Chien

Cirigliano

Dekens

et al. 2016

J. High Energ. Phys.

117

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Abstract:We investigate direct and indirect constraints on the complete set of anomalous CP-violating Higgs couplings to quarks and gluons originating from dimension-6 operators, by studying their signatures at the LHC and in electric dipole moments (EDMs). We show that existing uncertainties in hadronic and nuclear matrix elements have a significant impact on the interpretation of EDM experiments, and we quantify the improvements needed to fully exploit the power of EDM searches. Currently, the best bounds on the anomalous CP-violating Higgs interactions come from a combination of EDM measurements and the data from LHC Run 1. We argue that Higgs production cross section and branching ratios measurements at the LHC Run 2 will not improve the constraints significantly. On the other hand, the bounds on the couplings scale roughly linearly with EDM limits, so that future theoretical and experimental EDM developments can have a major impact in pinning down interactions of the Higgs.

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Section: Nucleon Edmsmentioning

confidence: 99%

Direct and indirect constraints on CP-violating Higgs-quark and Higgs-gluon interactions

Chien

Cirigliano

Dekens

et al. 2016

J. High Energ. Phys.

117

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“…the chromo-electric dipole moment, the mixing with lower-dimensional operators should be taken into account. See [33] for more details.). Effective theories like chiral perturbation theory [7,17,20] and several models in QCD sum rules [13,14] have found d …”

Section: F Lattice Results For the Neutron And Proton Edmmentioning

confidence: 99%

“…On the other hand, computations from first principles using lattice QCD are also possible. A recent attempt to estimate the quark EDM contribution is given in [33,34].…”

Section: Introductionmentioning

confidence: 99%

Neutron and proton electric dipole moments fromNf=2+1domain-wall fermion lattice QCD

Shintani¹,

Blum²,

Izubuchi³

et al. 2016

Phys. Rev. D

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We present a lattice calculation of the neutron and proton electric dipole moments (EDM's) with N f = 2 + 1 flavors of domain-wall fermions. The neutron and proton EDM form factors are extracted from three-point functions at the next-to-leading order in the θ vacuum of QCD. In this computation, we use pion masses of 0.33 and 0.42 GeV and 2.7 fm 3 lattices with Iwasaki gauge action and a 0.17 GeV pion and 4.6 fm 3 lattice with I-DSDR gauge action, all generated by the RBC and UKQCD collaborations. The all-mode-averaging technique enables an efficient and high statistics calculation. Chiral behavior of lattice EDM's is discussed in the context of baryon chiral perturbation theory. In addition, we also show numerical evidence on the relationship of threeand two-point correlation functions with the local topological charge distribution.

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“…The renormalization of the cEDM operator is studied both in one-loop perturbation theory with Twisted-mass fermions [38], and in nonperturbative RI-SMOM scheme [39]. The most challenging outcome is the divergent mixing with lower-dimensional operators: in particular the 1/a 2 mixing with the pseudoscalar quark bilinear operator:…”

Section: Renormalization Of Cedm Operatormentioning

confidence: 99%

“…In Ref. [39], authors defined a momentum subtraction scheme, RI-SMOM, for the non-perturbative renormalization of the cEDM operator on the lattice, and provided one-loop matching coefficients to the MS scheme in continuum limit. …”

Section: Renormalization Of Cedm Operatormentioning

confidence: 99%

Neutron Electric Dipole Moment on the Lattice

2018

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Abstract. For the neutron to have an electric dipole moment (EDM), the theory of nature must have T, or equivalently CP, violation. Neutron EDM is a very good probe of novel CP violation in beyond the standard model physics. To leverage the connection between measured neutron EDM and novel mechanism of CP violation, one requires the calculation of matrix elements for CP violating operators, for which lattice QCD provides a first principle method. In this paper, we review the status of recent lattice QCD calculations of the contributions of the QCD Θ-term, the quark EDM term, and the quark chromo-EDM term to the neutron EDM.

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Dimension-5CP-odd operators: QCD mixing and renormalization

Cited by 56 publications

References 78 publications

Direct and indirect constraints on CP-violating Higgs-quark and Higgs-gluon interactions

Direct and indirect constraints on CP-violating Higgs-quark and Higgs-gluon interactions

Neutron and proton electric dipole moments fromNf=2+1domain-wall fermion lattice QCD

Neutron Electric Dipole Moment on the Lattice

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