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Triple product asymmetries have been used to probe CP violation in $K$, $D$, and B decays. Here we review the interpretation of those asymmetries, and note that it is possible to construct twelve measurable triple product asymmetries for the decay of a particle into a four body final state. Eight of these asymmetries are introduced here and nine have never been measured before. These can be used to systematically test C, P, and CP symmetries in decays to four body final states. In particular we note that these asymmetries can be used to study symmetry invariance in Higgs, $Z^0$, top-quark, and hadron decay (both baryon and meson) as well as for $tau^pm$ decay at production threshold.
We consider hadronic weak decays of beauty-baryons into charmless baryons and pseudoscalar mesons in a general framework based on $SU(3)$ decomposition of the decay amplitudes. The advantage of the approach lies in the ability to perform an $SU(3)$ a
The LHCb experiment is capable of studying four-body decays of the $b$-flavored baryons $Lambda_b$ and $Xi_b^0$ to charmless final states consisting of charged pions, kaons, and baryons. We remark on the search in such modes for CP-violating triple p
U-spin symmetry predicts equal CP rate asymmetries with opposite signs in pairs of $Delta S=0$ and $Delta S=1$ $B$ meson decays in which initial and final states are related by U-spin reflection. Of particular interest are six decay modes to final st
CP asymmetries have been measured recently by the LHCb collaboration in three-body $B^+$ decays to final states involving charged pions and kaons. Large asymmetries with opposite signs at a level of about 60% have been observed in $B^pmto pi^pm({rm o
We report measurements of isospin asymmetry $Delta_{0-}$ and difference of direct $CP$ asymmetries $Delta A_{CP}$ between charged and neutral $B to X_s gamma$ decays. This analysis is based on the data sample containing $772 times 10^6 Bbar{B}$ pairs