Supersymmetric Explanation of CP Violation in $K\to \pi \pi$ Decays

Abstract

Recent progress in the determination of hadronic matrix elements has revealed a tension between the measured value of ${\epsilon }_K^{\prime }/{\epsilon }_K$, which quantifies direct $CP$ violation in $K\to \pi \pi$ decays, and the Standard-Model prediction. The well-understood indirect $CP$ violation encoded in the quantity ${\epsilon }_K$ typically precludes large new-physics contributions to ${\epsilon }_K^{\prime }/{\epsilon }_K$ and challenges such an explanation of the discrepancy. We show that it is possible to cure the ${\epsilon }_K^{\prime }/{\epsilon }_K$ anomaly in the Minimal Supersymmetric Standard Model with squark masses above 3 TeV without overshooting ${\epsilon }_K$. This solution exploits two features of supersymmetry: the possibility of large isospin-breaking contributions (enhancing ${\epsilon }_K^{\prime }$) and the Majorana nature of gluinos (permitting a suppression of ${\epsilon }_K$). Our solution involves no fine-tuning of $CP$ phases or other parameters.

5 pages, 4 figures; references added, version published in PRL

References in corpus (14)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
• Current status of the Standard Model CKM fit and constraints on $\Delta F=2$ New Physics
• Implications of D^0-\bar D^0 Mixing for New Physics
• Precision determination of the CKM element Vcb
• Precise Measurements of Direct CP Violation, CPT Symmetry, and Other Parameters in the Neutral Kaon System
• Epsilon_K at Next-to-Next-to-Leading Order: The Charm-Top-Quark Contribution
• $K\to \pi \pi$ $\Delta I=3/2$ decay amplitude in the continuum limit
• Searches for supersymmetry using the MT2 variable in hadronic events produced in pp collisions at 8 TeV
• Continuum Limit of $B_K$ from 2+1 Flavor Domain Wall QCD
• The MFV limit of the MSSM for low tan(beta): meson mixings revisited
• Do squarks have to be degenerate? Constraining the mass splitting with Kaon and D mixing
• Renormalisation group evolution for the $\Delta S=1$ effective Hamiltonian with $N_f=2+1$

Cited by in corpus (32)

• On the Importance of NNLO QCD and Isospin-breaking Corrections in ${\epsilon }^{\prime }/\epsilon$
• Patterns of Flavour Violation in Models with Vector-Like Quarks
• Generic Loop Effects of New Scalars and Fermions in $b\to s{\ell }^{+}{\ell }^{-}$, $(g-2{)}_{\mu }$ and a Vector-like $4^{\mathrm{th}}$ Generation
• Direct $CP$ Violation in $K\to {\mu }^{+}{\mu }^{-}$
• An ${\epsilon }^{\prime }$ improvement from right-handed currents
• Revisiting Kaon Physics in General $Z$ Scenario
• Direct CP violation in $K^0\to \pi \pi$: Standard Model Status
• Master formula for ${\epsilon }^{\prime }/\epsilon$ beyond the Standard Model
• Chargino contributions in light of recent ${\epsilon }^{\prime }/\epsilon$
• Gluino-mediated electroweak penguin with flavor-violating trilinear couplings
• Singularity-free Next-to-leading Order $\Delta S=1$ Renormalization Group Evolution and ${\epsilon }_K^{\prime }/{\epsilon }_K$ in the Standard Model and Beyond
• ${\epsilon }^{\prime }/\epsilon$ from charged-Higgs-induced gluonic dipole operators
• Correlating ${\epsilon }^{\prime }/\epsilon$ to hadronic $B$ decays via $U(2{)}^3$ flavour symmetry
• Anatomy of ${\epsilon }^{\prime }/\epsilon$ beyond the Standard Model
• Isospin-Violating Contributions to ${\epsilon }^{\prime }/\epsilon$
• $K\to \pi \nu \overline{\nu }$ in the MSSM in Light of the ${\epsilon }_K^{\prime }/{\epsilon }_K$ Anomaly
• Left-handed color-sextet diquark in the Kaon system
• BSM Hadronic Matrix Elements for ${\epsilon }^{\prime }/\epsilon$ and $K\to \pi \pi$ Decays in the Dual QCD Approach
• ${\epsilon }_K^{\prime }/{\epsilon }_K$ and $K\to \pi \nu \bar{\nu }$ in a two-Higgs doublet model
• Simultaneous interpretation of $K$ and $B$ anomalies in terms of chiral-flavorful vectors
• ${\epsilon }^{\prime }/\epsilon$ Anomaly and Neutron EDM in $SU(2{)}_L\times SU(2{)}_R\times U(1{)}_{B-L}$ model with Charge Symmetry
• Effect of the Pauli exclusion principle in the electric dipole moment of ${}^9$Be with $|\Delta S|=1$ interactions
• Probing SUSY effects in $K_S^0\to {\mu }^{+}{\mu }^{-}$
• ${\epsilon }_K$ and ${\epsilon }^{\prime }/\epsilon$ in a diquark model
• Updated Standard Model Prediction for ${\epsilon }^{\prime }/\epsilon$
• Top-quark flavor-changing $tqZ$ couplings and rare $\Delta F=1$ processes
• Exploring the flavour structure of the high-scale MSSM
• New Physics in the Flavour Sector
• Recent progress on CP violation in $K\to \pi \pi$ decays in the SM and a supersymmetric solution
• Impact of Lattice QCD on CKM Phenomenology
• Theory perspectives on rare Kaon decays and CPV
• Direct CP violation in $K\to \pi \pi$ decays and supersymmetry