Mitglied der Helmholtz-Gemeinschaft ECT* ECT* Talent — Training in Nuclear Energy Low Advanced Theory & Universi Jülich | Körber Forschungszentrum | Christopher 2015 31. July Advisor: Advisor: Tom of Work:| Begin Luu 2014 November Symmetries of Fundamental Investigations Physics Nuclear Lattice 1

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Mitglied der Helmholtz-Gemeinschaft Christopher Körber — ECT* Körber Christopher Talent — 2015 31. July Electric DipoleElectric Moment Hadronic Hints for CP Violations: EDM violates CP EDM violates P S ˛ d ˛ = − ( − B E ˛ lectric ) d ˛ · H ( := µ D C ( = PT ⁄ − ipole 4 S ˛ − d )) 3 M B r ˛ Magnetic Dipole Moment Dipole Magnetic − oment as a CPa as oment quantity violating T ˛ r · (+ fl ( ( µ ˛ r E ˛ Charge distribution Charge )= S ) ˛ · ) ( d d − ( S ˛ − E ˛ S ˛ )) · ( d Total nucleus S ˛ ) 4 Mitglied der Helmholtz-Gemeinschaft Christopher Körber — ECT* Körber Christopher Talent — 2015 31. July (CKM matrix) (CKM Interactions Weak dipole electric Neutron - Knecht Wikipedia: Andreas by history" limit “NEDM Source: EDMs andEDMs Matter Asymmetry? Sources of CPSources interactions violating if θ =1 (QCD, theta) Interactions Strong (SUSY, Physics New … 5 ) of CPAnalysis interactions violating • • • • Experimental Status Experimental Non-vanishing measurement: Nobel price? Nobel measurement: Non-vanishing physics energy high than expensive Less Complementary to LHC to LHC Complementary free Background Current Bounds: Current Planned Bounds: Planned d d d n p e d d n p ∼ ∼ ∼ Analysis of EDMs Analysis ∼ ∼ 8 2 7 . . . 10 10 7 9 9 · · · − − 10 10 10 29 29 − − − 29 26 25 CryoEDM EDM, JEDI Ring Storage & deuteron, proton 199 ThO, ACME ILL , ultracold Hg, UWashHg, (order of magnitudes?) of magnitudes?) (order , ILL

5 Mitglied der Helmholtz-Gemeinschaft Christopher Körber — ECT* Körber Christopher Talent — 2015 31. July … … uncertainties uncertainties uncontrolled large Currently Nuclear Level Nuclear on fundamental is level important for controlled model-in for is understandingessential CP violating on structure Computation ofEDMs Effective Field Theories & QCD Theory Lattice Perturbation Chiral Models Nuclear Nuclear EDMs Nuclear Hadronic Level Hadronic Pion Nucleon Int. Nucleon Pion Nucleon EDMs Nucleon Pion Int. Pion … 6 SM/QCD SM/QCD Level

Quark-Gluon Int. -Gluon Quark Quark EDMs Gluon Int. Theta Theta Term QCD fundamental level dependent predictions BSM Level LR Symmetric LR Multi-Higgs SUSY 6 Mitglied der Helmholtz-Gemeinschaft Christopher Körber — ECT* Körber Christopher Talent — 2015 31. July P 100 MeV 100 3 E 1 GeV 2 γ 3 π P 2 π An Effective FieldAn Effective Theory for QCD Chiral Perturbation Theory: N NN NN symmetries of QCD in chiral limit and has hadrons as degrees of fre degrees as hadrons has and limit chiral of QCD in symmetries Chiral Perturbation Theory: Perturbative treatment of QCD treatment Perturbative (confinement) and and (confinement) q q + + L N g π χ + + = ··· g L g N NN NN π g Lattice QCD Lattice + + + NN NN L g π g + + + + g g Most general Lagrangian which respects the the respects which Lagrangian Most general ··· L 7

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edom - - - CP violating CP conserving  f yet 7 Mitglied der Helmholtz-Gemeinschaft Christopher Körber — ECT* Körber Christopher Talent — 2015 31. July The Transfer Matrix Field Effective Lattice Theory: Nuclear Transfer InterpretationMatrix (Triton) 8 methods stochastically and identities Path integral state of physical function wave to of transfer matrix correspond Eigenstates all possible paths and interactions interactions and paths possible all Transfer states by accounting matrix evolves integral of chiral Lagrangian) of chiral integral dimensionality Greatly reduced È ψ Time for 100 HMC traj. per process [s] È ( ψ t 1000 2000 3000 4000 5000 6000 + ( 0 t 0 δ Nucleon NumberScalingfor + t ) 79.7 | δ 4 M t A 2014 Code ) +7.11 δ t | 8 | M A ψ 2 ( δ A t 12 t Statistical errors Statistical ) L | Í =6, ψ & L 16 ( t in =8, 1 t (path (path ) N Í L t out L 20 3 =8 2 N 8 P Mitglied der Helmholtz-Gemeinschaft Christopher Körber — ECT* Körber Christopher Talent — 2015 31. July Why NLEFT for EDMs? accessibility of precision and Improvement for for EDMs? Why NLEFT NLEFT Models Nuclear EFT ChPT + LQCD Nuclear EDMs Nuclear Pion Nucleon Int. Nucleon Pion Nucleon EDMs Nucleon Pion Int. Pion asymmetry toCrucial matter-antimatter interpret signaltoCrucial experimental interpret to calculations Extend connected to fundamental theory EDM calculations Nuclear 9 … Quark-Gluon Int. Quark-Gluon Quark Quark EDMs Gluon Int. uncharted uncharted territories systematically systematically Theta Theta Term QCD LR Symmetric LR Multi-Higgs SUSY 9