CP violation from noncommutative geometry

Abstract

If the geometry of space-time is $\nc$, i.e. $[x_{\mu },x_{\nu }]=i{\theta }_{\mu \nu }$, then $\nc$ $\cpviolng$ effects may be manifest at low energies. For a $\nc$ scale $\Lambda \equiv {\theta }^{-1/2}\le 2TeV$, $\cpviol$ from $\ncg$ is comparable to that from the Standard Model (SM) alone: the $\nc$ contributions to $\epsilon$ and ${\epsilon }^{\prime }/\epsilon$ in the $K$-system, may actually dominate over the Standard Model contributions. Present data permit $\ncg$ to be the only source of $\cpviol$. Furthermore the most recent findings for g-2 of the muon are consistent with predictions from $\ncg$. If the geometry of space-time is $\nc$, $i.e.$ $[x_{\mu },x_{\nu }]=i{\theta }_{\mu \nu }$, then $\nc$ $\cpviolng$ effects may be manifest at low energies. For a $\nc$ scale $\Lambda \equiv {\theta }^{-1/2}\le 2TeV$, $\cpviol$ from $\ncg$ is comparable to that from the Standard Model (SM) alone: the $\nc$ contributions to $\epsilon$ and ${\epsilon }^{\prime }/\epsilon$ in the K-system, may actually dominate over the Standard Model contributions. Present data permit $\ncg$ to be the only source of $\cpviol$. Furthermore the most recent findings for g-2 of the muon are consistent with predictions from $\ncg$.

fixed notation, corrected some typos

References in corpus (7)

• The quantum structure of spacetime at the Planck scale and quantum fields
• Precise Measurement of the Positive Muon Anomalous Magnetic Moment
• Construction of non-Abelian gauge theories on noncommutative spaces
• CP-Violating Phases in SUSY, Electric Dipole Moments, and Linear Colliders
• Measurement of CP-violating asymmetries in B0 decays to CP eigenstates
• Measurement of the CP Violation Parameter sin(2phi_1) in B^0_d Meson Decays
• Renormalization of noncommutative U(N) gauge theories

Cited by in corpus (34)

• Review of the Phenomenology of Noncommutative Geometry
• Non-Commutative GUTs, Standard Model and C,P,T
• Comments on Non-Commutative Phenomenology
• The Z -> gamma gamma, gg Decays in the Noncommutative Standard Model
• The Standard Model on Non-Commutative Space-Time: Electroweak Currents and Higgs Sector
• Testing the Noncommutative Standard Model at a Future Photon Collider
• Noncommutative Gauge Theory without Lorentz Violation
• Supersymmetric Noncommutative QED and Lorentz Violation
• K -> pi gamma decays and space-time noncommutativity
• Non-Commutativity and Unitarity Violation in Gauge Boson Scattering
• Generalized uncertainty principle or curved momentum space?
• Effective Field Theories on Non-Commutative Space-Time
• Phenomenology of Lorentz-Conserving Noncommutative QED
• Unusual High-Energy Phenomenology of Lorentz-Invariant Noncommutative Field Theories
• Breaking CPT by mixed non-commutativity
• Probing Noncommutative Space-Time in the Laboratory Frame
• Discerning Noncommutative Extra Dimensions
• The Z--> l^+ l^- and W--> nu_l l^+ decays in the noncommutative standard model}}
• Field Theory in Noncommutative Minkowski Superspace
• Noncommutative QED and the Lifetimes of Ortho and Para Positronium
• Constraints on Non-Commutative Physics Scale with Neutrino-Electron Scattering
• The inclusive b -> s γdecay in the noncommutative standard model
• Phenomenology of Noncommutative Field Theories
• Elimination of IR/UV via Gravity in Noncommutative Field Theory
• Possible Effects of Noncommutative Geometry on Weak CP Violation and Unitarity Triangles
• Exploring the thermodynamics of non-commutative scalar fields
• A Field Theoretical Model in Noncommutative Minkowski Superspace
• The form factors existing in the b->s g^* decay and the possible CP violating effects in the noncommutative standard model
• Evaluating matrix elements relevant to some Lorenz violating operators
• Probing New Physics With b Decays
• Noncommutative 6D Gauge Higgs Unification Models
• Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces
• Effective Potential and Spontaneous Symmetry Breaking in the Noncommutative phi^6 Model
• New Physics Searches at Kaon and Hyperon Factories