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      Search for CP violation in the decay \(D^+ \to \pi^-\pi^+\pi^+\)

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          Abstract

          A search for CP violation in the phase space of the decay \(D^+\to\pi^-\pi^+\pi^+\) is reported using \(pp\) collision data, corresponding to an integrated luminosity of 1.0 fb\(^{-1}\), collected by the LHCb experiment at a centre-of-mass energy of 7 TeV. The Dalitz plot distributions for \(3.1\times 10^6\) \(D^+\) and \(D^-\) candidates are compared with binned and unbinned model-independent techniques. No evidence for CP violation is found.

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          Publisher’s Note:CPasymmetries in singly-Cabibbo-suppressedDdecays to two pseudoscalar mesons [Phys. Rev. D85, 054014 (2012)]

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            Size of direct CP violation in singly Cabibbo-suppressed D decays

            The first experimental evidence for direct CP violation in charm-quark decays has recently been presented by the LHCb collaboration in the difference between the D -> K+ K- and D -> pi+ pi- time-integrated CP asymmetries. We estimate the size of the effects that can be expected within the Standard Model and find that at leading order in 1/mc they are an order of magnitude smaller. However, tree-level annihilation type amplitudes are known to be large experimentally. This implies that certain formally 1/mc-suppressed penguin amplitudes could plausibly account for the LHCb measurement. Simultaneously, the flavor-breaking parts of these amplitudes could explain the large difference between the D -> K+ K- and D -> pi+ pi- decay rates.
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              On a CP Anisotropy Measurement in the Dalitz Plot

              We describe a novel use of the Dalitz plot to probe CP symmetry in three-body modes of \(B\) and \(D\) mesons. It is based on an observable inspired by astronomers' practice, namely the significance in the difference between corresponding Dalitz plot bins. It provides a model independent mapping of local CP asymmetries. We illustrate the method for probing CP symmetry in the complementary cases of B decays, where sizable or even large effects can be expected, yet have to be differentiated against leading Standard Model contributions, and \(D\) decays, where one cannot count on sizable effects, yet has to deal with much less Standard Model background.
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                Author and article information

                Journal
                2013-10-29
                2014-01-08
                Article
                10.1016/j.physletb.2013.12.035
                1310.7953
                9f75af49-ec2b-4c3c-bd3a-866cdcf207bd

                http://creativecommons.org/licenses/by/3.0/

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                Custom metadata
                LHCb-PAPER-2013-057, CERN-PH-EP-2013-199
                Physics Letters B 728 (2014) 585
                hep-ex

                High energy & Particle physics
                High energy & Particle physics

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