<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">CPT</mml:mi></mml:math>Tests in the Neutral Kaon System

Schwingenheuer, B.; Briere, R. A.; Barker, A.; Cheu, E.; Gibbons, L. K.; Harris, D. A.; Makoff, G.; McFarland, K. S.; Roodman, A.; Wah, Y. W.; Winstein, B.; Winston, R.; Swallow, E. C.; Bock, G. J.; Coleman, R.; Crisler, M.; Enagonio, J.; Ford, R.; Hsiung, Y.; Jensen, D.; Ramberg, E.; Tschirhart, R.; Yamanaka, T.; Collins, E. M.; Gollin, G. D.; Gu, Ping; Haas, P.; Hogan, W. P.; Kim, S. K.; Matthews, J. N.; Myung, S. S.; Schnetzer, S.; Somalwar, S.; Thomson, G. B.; Zou, Yanbiao

doi:10.1103/physrevlett.74.4376

Cited by 113 publications

(71 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For example, the E773 data were collected over several months [3]. Effects of the Earth's motion on the meson velocities and orientations must therefore be considered.…”

Section: (1)mentioning

confidence: 99%

“…Among the various tests of CPT [2], the sharpest published bounds are obtained with the neutralkaon system. As an example, the CPT figure of merit r K ϵ jm K 2 m K j͞m K has recently been constrained to r K , 1.3 3 10 218 at the 90% confidence level by the experiment E773 at Fermilab [3,4].In neutral-meson interferometry, bounds on CPT violation are extracted using a phenomenological description of the meson time evolution. Denote by P 0 any of the possible neutral mesons…”

mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Sensitivity ofCPTTests with Neutral Mesons

1998

View full text Add to dashboard Cite

The sensitivity of experiments with neutral mesons to possible indirect CPT violation is examined. It is shown that experiments conventionally regarded as equivalent can have CPT reaches differing by orders of magnitude within the framework of a minimal CPT -and Lorentz-violating extension of the standard model. [S0031-9007(98) PACS numbers: 11.30. Er, 11.30.Cp, 14.40.Aq Neutral-meson interferometry is a powerful tool for investigating the discrete symmetry CPT . This product of charge conjugation C, parity reflection P, and time reversal T is known to be an invariance of local relativistic quantum field theories of point particles in flat spacetime [1]. Among the various tests of CPT [2], the sharpest published bounds are obtained with the neutralkaon system. As an example, the CPT figure of merit r K ϵ jm K 2 m K j͞m K has recently been constrained to r K , 1.3 3 10 218 at the 90% confidence level by the experiment E773 at Fermilab [3,4].In neutral-meson interferometry, bounds on CPT violation are extracted using a phenomenological description of the meson time evolution. Denote by P 0 any of the possible neutral mesonss produced using the strong interaction, and combine the Schrödinger wave functions of P 0 and its opposite-flavor antiparticle P 0 into a two-component object C. Then, the time evolution of C is governed by a 2 3 2 effective Hamiltonian L through the equation i≠ t C LC. Off-diagonal components of L drive flavor oscillations between P 0 and P 0 .Two possible kinds of CP violation can be studied within this formalism. The one usually considered involves T violation with CPT invariance and is controlled by a parameter e P . In the kaon system, for example, a nonzero value of e K is well established [2]. The other involves CPT violation with T invariance. It is controlled by a complex parameter d P ഠ DL͞Dl, where DL ϵ ͑L 11 2 L 22 ͒͞2 is half the diagonal-element difference in L and Dl is the eigenvalue difference. In the kaon system, a bound on r K constrains d K .The parameter d P can be bounded experimentally whether or not a nonzero value has any theoretical basis. However, a framework for CPT violation based on conventional quantum field theory does exist. The idea is that apparent low-energy CPT and Lorentz breaking might arise spontaneously within a more fundamental theory that is otherwise CPT and Lorentz invariant [5]. Any apparent breaking at the level of the standard model would then merely reflect a feature of the vacuum rather than a fundamental property of the theory [6]. Potentially observable effects within this general framework have been studied in neutral-meson systems [7][8][9][10], in QED [11], and in baryogenesis [12].Apparent Lorentz and CPT violation of this type can be incorporated in a general extension of the minimal SU͑3͒ 3 SU͑2͒ 3 U͑1͒ standard model that preserves gauge invariance and renormalizability [13]. In the underlying theory, the spontaneous breaking generates constant background expectation values as usual, but the fields involved are Lorentz tensors inste...

show abstract

“…For example, the E773 data were collected over several months [3]. Effects of the Earth's motion on the meson velocities and orientations must therefore be considered.…”

Section: (1)mentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Sensitivity ofCPTTests with Neutral Mesons

1998

View full text Add to dashboard Cite

show abstract

“…They have shown that the theory maintains many of the other usual properties of the standard model besides Lorentz and CPT symmetry, such as electroweak breaking, energy-momentum conservation, the spin-statistics connection, microcausality, and observer Lorentz covariance. In addition to the atomic experiments described here, the standard-model extension has been used to analyze Lorentz and CPT tests with neutral mesons [27,28], photon experiments [5,25,29], and baryogenesis [30].…”

Section: Standard-model Extensionmentioning

confidence: 99%

Lorentz and CPT tests in atomic systems

Bluhm¹

2000

AIP Conference Proceedings

View full text Add to dashboard Cite

“…Given the small value of (1 − |η 00 /η +− |), the value of φ 00 − φ +− provides a measure of CP T violation in K 0 L → 2π decay. Results from CERN [1] and Fermilab [2] indicate no CP T -violating effect.…”

mentioning

confidence: 99%

Tests of conservation laws

2000

Eur. Phys. J. C

View full text Add to dashboard Cite

General principles of relativistic field theory require invariance under the combined transformation CP T . The simplest tests of CP T invariance are the equality of the masses and lifetimes of a particle and its antiparticle. The best test comes from the limit on the mass difference between K 0 and K 0 . Any such difference contributes to the CP -violating parameter . Assuming CP T invariance, φ , the phase of should be very close to 44 • . (See the review "CP Violation in K L decay" in this edition.) In contrast, if the entire source of CP violation in K 0 decays were a K 0 − K 0 mass difference, φ would be 44 • + 90 • .Assuming that there is no other source of CP T violation than this mass difference, it is possible to deduce that[1]where φ SW = (43.51 ± 0.05) • , the superweak angle. Using our best values of the CP -violation parameters, we get |( CP AND T INVARIANCEGiven CP T invariance, CP violation and T violation are equivalent. The original evidence for CP violation came from the measurement of |η. This could be explained in terms of K 0 -K 0 mixing, which also leads to the asymmetryEvidence for CP violation in the kaon decay amplitide comes from the measurement of (1 − |η 00 /η +− |)/3 = Re( / ) = (1.67 ± 0.26) × 10 −3 . In the Standard Model much larger CP -violating effects are expected. The first of these, which is associated with B-B mixing, is the parameter sin(2β) now measured quite accurately to be 0.731 ± 0.056. A number of other CP -violating observables are being measured in B decays and preliminary results are available. Direct tests of T violation are much more difficult; a measurement by CPLEAR of the difference between the oscillation probabilities of K 0 to K 0 and K 0 to K 0 is related to T violation [3]. Other searches for CP or T violation involve effects that are expected to be unobservable in the Standard Model. The most sensitive are probably the searches for an electric dipole moment of the neutron, measured to be < 6 × 10 −26 e cm, and the electron (0.07 ± 0.07) × 10 −26 e cm. A nonzero value requires both P and T violation. CONSERVATION OF LEPTON NUMBERSPresent experimental evidence and the standard electroweak theory are consistent with the absolute conservation of three separate lepton numbers: electron number L e , muon number L µ , and tau number L τ , except for the effect of neutrino mixing associated with neutrino masses. Searches for violations are of the following types: a) ∆L = 2 for one type of charged lepton. The best limit comes from the search for neutrinoless double beta decay (Z, A) → (Z + 2, A) + e − + e − . The best laboratory limit is t 1/2 > 1.9 × 10 25 yr (CL=90%) for 76 Ge. b) Conversion of one charged-lepton type to another. For purely leptonic processes, the best limits are on µ → eγ and µ → 3e, measured as Γ(µ → eγ)/Γ(µ →all) < 1.2 × 10 −11 and Γ(µ → 3e)/Γ(µ → all) < 1.0 × 10 −12 . For semileptonic processes, the best limit comes from the coherent conversion process in a muonic atom,Of special interest is the case in which the hadronic flavor also chang...

show abstract

CPTTests in the Neutral Kaon System

Abstract: Fermilab experiment E773 has measured the phases 4+ = 43. 53'~0 . 97' and 400 -4+

Cited by 113 publications

References 6 publications

Sensitivity ofCPTTests with Neutral Mesons

Sensitivity ofCPTTests with Neutral Mesons

Lorentz and CPT tests in atomic systems

Tests of conservation laws

Contact Info

Product

Resources

About