Abstract
We study nuclear electric dipole moments induced by ∆F = 1 effective operators in the Standard Model Effective Field Theory. Such contributions arise through renormalization group evolutions and matching conditions at the electroweak symmetry breaking scale. We provide one-loop formulae for the matching conditions. We also discuss correlations of these effects with ∆F = 2 observables such as ϵK and \( \Delta {M}_{B_d} \).
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ATLAS results, https://twiki.cern.ch/twiki/bin/view/AtlasPublic.
CMS results, http://cms-results.web.cern.ch/cms-results/public-results/publications.
W.C. Griffith et al., Improved limit on the permanent electric dipole moment of Hg-199, Phys. Rev. Lett.102 (2009) 101601 [arXiv:0901.2328] [INSPIRE].
B. Graner, Y. Chen, E.G. Lindahl and B.R. Heckel, Reduced limit on the permanent electric dipole moment of Hg199, Phys. Rev. Lett.116 (2016) 161601 [Erratum ibid.119 (2017) 119901] [arXiv:1601.04339] [INSPIRE].
J.M. Pendlebury et al., Revised experimental upper limit on the electric dipole moment of the neutron, Phys. Rev.D 92 (2015) 092003 [arXiv:1509.04411] [INSPIRE].
B.K. Sahoo, Improved limits on the hadronic and semihadronic CP violating parameters and role of a dark force carrier in the electric dipole moment of199Hg, Phys. Rev.D 95 (2017) 013002 [arXiv:1612.09371] [INSPIRE].
R.K. Ellis et al., Physics briefing book: input for the European strategy for particle physics update 2020, arXiv:1910.11775 [INSPIRE].
D. Wurm et al., The PanEDM neutron electric dipole moment experiment at the ILL, EPJ Web Conf.219 (2019) 02006 [arXiv:1911.09161] [INSPIRE].
V. Anastassopoulos et al., A storage ring experiment to detect a proton electric dipole moment, Rev. Sci. Instrum.87 (2016) 115116 [arXiv:1502.04317] [INSPIRE].
W. Buchmüller and D. Wyler, Effective Lagrangian analysis of new interactions and flavor conservation, Nucl. Phys.B 268 (1986) 621 [INSPIRE].
B. Grzadkowski, M. Iskrzynski, M. Misiak and J. Rosiek, Dimension-six terms in the standard model Lagrangian, JHEP10 (2010) 085 [arXiv:1008.4884] [INSPIRE].
A. Dedes et al., Feynman rules for the standard model effective field theory in R
ξ -gauges, JHEP06 (2017) 143 [arXiv:1704.03888] [INSPIRE].M. Endo, T. Kitahara and D. Ueda, SMEFT top-quark effects on ∆F = 2 observables, JHEP07 (2019) 182 [arXiv:1811.04961] [INSPIRE].
E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization group evolution of the standard model dimension six operators. Part I. Formalism and lambda dependence, JHEP10 (2013) 087 [arXiv:1308.2627] [INSPIRE].
E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization group evolution of the standard model dimension six operators. Part II. Yukawa dependence, JHEP01 (2014) 035 [arXiv:1310.4838] [INSPIRE].
R. Alonso, E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization group evolution of the standard model dimension six operators. Part III. Gauge coupling dependence and phenomenology, JHEP04 (2014) 159 [arXiv:1312.2014] [INSPIRE].
S. Alioli et al., Right-handed charged currents in the era of the Large Hadron Collider, JHEP05 (2017) 086 [arXiv:1703.04751] [INSPIRE].
W. Dekens and J. de Vries, Renormalization group running of dimension-six sources of parity and time-reversal violation, JHEP05 (2013) 149 [arXiv:1303.3156] [INSPIRE].
J. Engel, M.J. Ramsey-Musolf and U. van Kolck, Electric dipole moments of nucleons, nuclei and atoms: the standard model and beyond, Prog. Part. Nucl. Phys.71 (2013) 21 [arXiv:1303.2371] [INSPIRE].
J. Aebischer, C. Bobeth, A.J. Buras and D.M. Straub, Anatomy of
ε ′/ε beyond the standard model, Eur. Phys. J.C 79 (2019) 219 [arXiv:1808.00466] [INSPIRE].M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, On the weak radiative decays (effects of strong interactions at short distances), Phys. Rev.D 18 (1978) 2583 [Erratum ibid.D 19 (1979) 2815] [INSPIRE].
J. Dai and H. Dykstra, QCD corrections to CP violation in Higgs exchange, Phys. Lett.B 237 (1990) 256 [INSPIRE].
E. Braaten, C.S. Li and T.C. Yuan, The gluon color — Electric dipole moment and its anomalous dimension, Phys. Rev.D 42 (1990) 276 [INSPIRE].
G. Boyd, A.K. Gupta, S.P. Trivedi and M.B. Wise, Effective Hamiltonian for the electric dipole moment of the neutron, Phys. Lett.B 241 (1990) 584 [INSPIRE].
J. Hisano, K. Tsumura and M.J.S. Yang, QCD corrections to neutron electric dipole moment from dimension-six four-quark operators, Phys. Lett.B 713 (2012) 473 [arXiv:1205.2212] [INSPIRE].
G. Degrassi, E. Franco, S. Marchetti and L. Silvestrini, QCD corrections to the electric dipole moment of the neutron in the MSSM, JHEP11 (2005) 044 [hep-ph/0510137] [INSPIRE].
J. Brod and E. Stamou, Electric dipole moment constraints on CP-violating heavy-quark Yukawas at next-to-leading order, arXiv:1810.12303 [INSPIRE].
J. de Vries, G. Falcioni, F. Herzog and B. Ruijl, Two- and three-loop anomalous dimensions of Weinberg’s dimension-six CP-odd gluonic operator, arXiv:1907.04923 [INSPIRE].
J. de Vries, E. Mereghetti, R.G.E. Timmermans and U. van Kolck, The effective chiral Lagrangian from dimension-six parity and time-reversal violation, Annals Phys.338 (2013) 50 [arXiv:1212.0990] [INSPIRE].
J. Bijnens and E. Pallante, Weak long distance contributions to the neutron and proton electric dipole moments, Phys. Lett.B 387 (1996) 207 [hep-ph/9606285] [INSPIRE].
D.A. Demir, M. Pospelov and A. Ritz, Hadronic EDMs, the Weinberg operator and light gluinos, Phys. Rev.D 67 (2003) 015007 [hep-ph/0208257] [INSPIRE].
D.A. Demir et al., Electric dipole moments in the MSSM at large tan beta, Nucl. Phys.B 680 (2004) 339 [hep-ph/0311314] [INSPIRE].
U. Haisch and A. Hala, Sum rules for CP-violating operators of Weinberg type, JHEP11 (2019) 154 [arXiv:1909.08955] [INSPIRE].
J.A. Bailey, S. Lee, W. Lee, J. Leem and S. Park, Updated evaluation of ϵKin the standard model with lattice QCD inputs, Phys. Rev.D 98 (2018) 094505 [arXiv:1808.09657] [INSPIRE].
A.J. Buras and D. Guadagnoli, Correlations among new CP-violating effects in ∆F = 2 observables, Phys. Rev.D 78 (2008) 033005 [arXiv:0805.3887] [INSPIRE].
A.J. Buras, D. Guadagnoli and G. Isidori, On ϵKBeyond Lowest Order in the Operator Product Expansion, Phys. Lett.B 688 (2010) 309 [arXiv:1002.3612] [INSPIRE].
Particle Data Group collabroation, Review of particle physics, Phys. Rev.D 98 (2018) 030001.
A.J. Buras, S. Jager and J. Urban, Master formulae for ∆F = 2 NLO QCD factors in the standard model and beyond, Nucl. Phys.B 605 (2001) 600 [hep-ph/0102316] [INSPIRE].
RBC/UKQCD collaboration, Neutral kaon mixing beyond the Standard Model with nf = 2 + 1 chiral fermions. Part I. Bare matrix elements and physical results, JHEP11 (2016) 001 [arXiv:1609.03334] [INSPIRE].
Fermilab Lattice, MILC collaboration, \( {B}_{(s)}^0 \)-mixing matrix elements from lattice QCD for the Standard Model and beyond, Phys. Rev.D 93 (2016) 113016 [arXiv:1602.03560] [INSPIRE].
S. Bertolini, A. Maiezza and F. Nesti, Kaon CP-violation and neutron EDM in the minimal left-right symmetric model, Phys. Rev.D 101 (2020) 035036 [arXiv:1911.09472] [INSPIRE].
N. Haba, H. Umeeda and T. Yamada, ϵ′/ϵ anomaly and neutron EDM in SU(2)L × SU(2)R × U(1)B−Lmodel with charge symmetry, JHEP05 (2018) 052 [arXiv:1802.09903] [INSPIRE].
F.-K. Guo and U.-G. Meissner, Baryon electric dipole moments from strong CP-violation, JHEP12 (2012) 097 [arXiv:1210.5887] [INSPIRE].
S. Borsányi et al., SU(2) chiral perturbation theory low-energy constants from 2 + 1 flavor staggered lattice simulations, Phys. Rev.D 88 (2013) 014513 [arXiv:1205.0788] [INSPIRE].
H. Abele and D. Mund, Quark mixing, CKM unitarity: Proceedings, International Workshop, Heidelberg, Germany, 19–20 September 2002, hep-ph/0312124.
J.M. Alarcon, L.S. Geng, J. Martin Camalich and J.A. Oller, The strangeness content of the nucleon from effective field theory and phenomenology, Phys. Lett.B 730 (2014) 342 [arXiv:1209.2870] [INSPIRE].
K.G. Chetyrkin, J.H. Kuhn and M. Steinhauser, RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses, Comput. Phys. Commun.133 (2000) 43 [hep-ph/0004189] [INSPIRE].
Flavour Lattice Averaging Group collaboration, FLAG review 2019, Eur. Phys. J.C 80 (2020) 113 [arXiv:1902.08191] [INSPIRE].
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Endo, M., Ueda, D. Nuclear EDM from SMEFT flavor-changing operator. J. High Energ. Phys. 2020, 53 (2020). https://doi.org/10.1007/JHEP04(2020)053
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DOI: https://doi.org/10.1007/JHEP04(2020)053