Time reversal violation from the entangled B ^{0} \( \overline B \) ^{0} system Article
First Online: 10 August 2012 Received: 01 March 2012 Revised: 15 June 2012 Accepted: 24 July 2012 DOI :
10.1007/JHEP08(2012)064
Cite this article as: Bernabéu, J., MartínezVidal, F. & VillanuevaPérez, P. J. High Energ. Phys. (2012) 2012: 64. doi:10.1007/JHEP08(2012)064 Abstract We discuss the concepts and methodology to implement an experiment probing directly Time Reversal (T ) noninvariance, without any experimental connection to CP violation, by the exchange of in and out states. The idea relies on the B ^{0} \( \overline B \) ^{0} entanglement and decay time information available at B factories. The flavor or CP tag of the state of the still living neutral meson by the first decay of its orthogonal partner overcomes the problem of irreversibility for unstable systems, which prevents direct tests of T with incoherent particle states. T violation in the time evolution between the two decays means experimentally a difference between the rates for the timeordered (ℓ^{+} X , J/ ψK _{S} ) and (J/ ψK _{L} , ℓ^{−} X ) decays, and three other independent asymmetries. The proposed strategy has been applied to simulated data samples of similar size and features to those currently available, from which we estimate the significance of the expected discovery to reach many standard deviations.
Keywords Discrete and Finite Symmetries BPhysics CP violation
References [1]
J. Christenson, J. Cronin, V. Fitch and R. Turlay,
Evidence for the 2π
decay of the
\( K_2^0 \)
meson ,
Phys. Rev. Lett.
13 (1964) 138 [
INSPIRE ].
ADS CrossRef [2]
D. Banner et al.,
Experimental comparison of CPviolation in
\( \overline K \)
^{0} → π + π
^{−}
and K
^{0} → π
^{+} π
^{−}
decays ,
Phys. Rev.
D 7 (1973) 1989 [
INSPIRE ].
ADS [3]
CPLEAR collaboration, R. Adler et al.,
First determination of CPviolation parameters from K
^{0}

\( \overline K \)
^{0}
decay asymmetry ,
Phys. Lett.
B 286 (1992) 180 [
INSPIRE ].
ADS [4]
CPLEAR collaboration, A. Apostolakis et al.,
A determination of the CPviolation parameter η
^{±}
from the decay of strangeness tagged neutral kaons ,
Phys. Lett.
B 458 (1999) 545 [
INSPIRE ].
ADS [5]
BABAR collaboration, B. Aubert et al.,
Observation of CPviolation in the B
^{0}
meson system ,
Phys. Rev. Lett.
87 (2001) 091801 [
hepex/0107013 ] [
INSPIRE ].
ADS CrossRef [6]
Belle collaboration, K. Abe et al.,
Observation of large CPviolation in the neutral B meson system ,
Phys. Rev. Lett.
87 (2001) 091802 [
hepex/0107061 ] [
INSPIRE ].
ADS CrossRef [7]
BaBar collaboration, B. Aubert et al.,
Observation of direct CPviolation in B
^{0} →
K
^{+} π
^{−}
decays ,
Phys. Rev. Lett.
93 (2004) 131801 [
hepex/0407057 ] [
INSPIRE ].
ADS CrossRef [8]
Belle collaboration, Y. Chao et al.,
Evidence for direct CPviolation in B
^{0} →
K
^{+} π
^{−}
decays ,
Phys. Rev. Lett.
93 (2004) 191802 [
hepex/0408100 ] [
INSPIRE ].
ADS CrossRef [9]
M. Antonelli et al.,
Flavor physics in the quark sector ,
Phys. Rept.
494 (2010) 197 [
arXiv:0907.5386 ] [
INSPIRE ].
ADS CrossRef [10]
G. Lüders,
Proof of the TCP theorem ,
Annals Phys.
2 (1957) 1.
ADS MATH CrossRef [11]
W. Pauli,
Niels Bohr and the development of physics , Pergamon Press, New York, U.S.A. (1955).
MATH [12]
Particle Data Group collaboration, K. Nakamura et al.,
Review of particle physics ,
J. Phys.
G 37 (2010) 075021 [
INSPIRE ].
ADS [13]
L. Wolfenstein,
The search for direct evidence for time reversal violation ,
Int. J. Mod. Phys.
E 8 (1999) 501.
ADS [14]
H.R. Quinn,
Time reversal violation ,
J. Phys. Conf. Ser.
171 (2009) 012001 [
INSPIRE ].
ADS CrossRef [15]
CPLEAR collaboration, A. Angelopoulos et al.,
First direct observation of time reversal noninvariance in the neutral kaon system ,
Phys. Lett.
B 444 (1998) 43 [
INSPIRE ].
ADS [16]
BABAR collaboration, B. Aubert et al.,
Search for T, CP and CPT violation in B
^{0}

^{B} ¯
^{0}
mMixing with inclusive dilepton events ,
Phys. Rev. Lett.
96 (2006) 251802 [
hepex/0603053 ] [
INSPIRE ].
ADS CrossRef [17]
BABAR collaboration, B. Aubert et al.,
Limits on the decayrate difference of neutral B mesons and on CP, T and CPT violation in B
^{0}
\( \overline B \)
^{0}
oscillations ,
Phys. Rev. Lett.
92 (2004) 181801 [
hepex/0311037 ] [
INSPIRE ].
ADS CrossRef [18]
M. Ciuchini, E. Franco, V. Lubicz, F. Mescia and C. Tarantino,
Lifetime differences and CPviolation parameters of neutral B mesons at the nexttoleading order in QCD ,
JHEP
08 (2003) 031 [
hepph/0308029 ] [
INSPIRE ].
ADS CrossRef [19]
S. Laplace, Z. Ligeti, Y. Nir and G. Perez,
Implications of the CP asymmetry in semileptonic B decay ,
Phys. Rev.
D 65 (2002) 094040 [
hepph/0202010 ] [
INSPIRE ].
ADS [20]
M. Beneke, G. Buchalla, A. Lenz and U. Nierste,
CP asymmetry in flavor specific B decays beyond leading logarithms ,
Phys. Lett.
B 576 (2003) 173 [
hepph/0307344 ] [
INSPIRE ].
ADS [21]
A. Einstein, B. Podolsky and N. Rosen,
Can quantum mechanical description of physical reality be considered complete? ,
Phys. Rev.
47 (1935) 777 [
INSPIRE ].
ADS MATH CrossRef [22]
M. Bañuls and J. Bernabéu,
CP, T and CPT versus temporal asymmetries for entangled states of the B
_{d}
system ,
Phys. Lett.
B 464 (1999) 117 [
hepph/9908353 ] [
INSPIRE ].
ADS [23]
M. Bañuls and J. Bernabéu,
Studying indirect violation of CP, T and CPT in a B factory ,
Nucl. Phys.
B 590 (2000) 19 [
hepph/0005323 ] [
INSPIRE ].
ADS CrossRef [24]
J. Bernabéu,
T and CPT symmetries in entangled neutral meson systems ,
J. Phys. Conf. Ser.
335 (2011) 012011 [
arXiv:1104.1056 ] [
INSPIRE ].
ADS CrossRef [25]
BABAR collaboration, B. Aubert et al.,
Measurement of timedependent CP asymmetry in
\( {B_0} \to c\overline c K_0^{{\left( * \right)}} \)
decays ,
Phys. Rev.
D 79 (2009) 072009 [
arXiv:0902.1708 ] [
INSPIRE ].
ADS [26]
M.C. Bañuls and J. Bernabéu,
The CPconserving direction ,
JHEP
06 (1999) 032.
ADS CrossRef [27]
I. Adachi et al.,
Precise measurement of the CPviolation parameter sin 2φ
_{1}
in B
^{0} → (
c
\( \overline c \) )
K
^{0}
decays ,
Phys. Rev. Lett.
108 (2012) 171802 [
arXiv:1201.4643 ] [
INSPIRE ].
ADS CrossRef [28]
J. Bernabéu and M.C. Bañuls,
CP and T violation in neutrino oscillations ,
Nucl Phys. (Proc Suppl.)
B 87 (2000) 315 [
hepph/0003299 ] [
INSPIRE ].
ADS CrossRef © SISSA, Trieste, Italy 2012
Authors and Affiliations 1. Department of Theoretical Physics Universitat de València Burjassot Spain 2. IFIC, Universitat de ValènciaCSIC València Spain