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

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          Abstract

          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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          Weak Decays Beyond Leading Logarithms

          Markus Lautenbacher, Andrzej Buras, Gerhard Buchalla (1995)
          We review the present status of QCD corrections to weak decays beyond the leading logarithmic approximation including particle-antiparticle mixing and rare and CP violating decays. After presenting the basic formalism for these calculations we discuss in detail the effective hamiltonians for all decays for which the next-to-leading corrections are known. Subsequently, we present the phenomenological implications of these calculations. In particular we update the values of various parameters and we incorporate new information on m_t in view of the recent top quark discovery. One of the central issues in our review are the theoretical uncertainties related to renormalization scale ambiguities which are substantially reduced by including next-to-leading order corrections. The impact of this theoretical improvement on the determination of the Cabibbo-Kobayashi-Maskawa matrix is then illustrated in various cases.
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            Decays of \(B\) Mesons to Two Light Pseudoscalars

            Jonathan L. Rosner, Oscar F. Hernández, David London … (1994)
            The decays \(B \to PP\), where \(P\) denotes a pseudoscalar meson, are analyzed, with emphasis on charmless final states. Numerous triangle relations for amplitudes hold within SU(3) symmetry, relating (for example) the decays \(B^+ \to \pi^+ \pi^0,~ \pi^0 K^+\), and \(\pi^+ K^0\). Such relations can improve the possibilities for early detection of \(CP\)-violating asymmetries. Within the context of a graphical analysis of decays, relations are analyzed among SU(3) amplitudes which hold if some graphs are neglected. One application is that measurements of the rates for the above three \(B^+\) decays and their charge-conjugates can be used to determine a weak CKM phase. With measurements of the remaining rates for \(B\) decays to \(\pi \pi,~\pi K\), and \(K \bar K\), one can obtain two CKM phases and several differences of strong phase shifts.
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              Nonleptonic weak decays of charmed mesons

              G Miele, P Santorelli, A. Pugliese … (1994)
              A previous analysis of two-body Cabibbo allowed nonleptonic decays of \(D^0\) mesons and of Cabibbo allowed and first-forbidden decays of \(D^+\) and \(D_s^+\) has been adjourned using more recent experimental data and extended to the Cabibbo forbidden decays of \(D^0\). Annihilation and W-exchange contributions as well as final state interaction effects (assumed to be dominated by nearby resonances) have been included and are in fact crucial to obtain a reasonable agreement with the experimental data, which show large flavour SU(3) violations. New fitting parameters are necessary to describe rescattering effects for Cabibbo forbidden \(D^0\) decays, given the lack of experimental informations on isoscalar resonances. We keep their number to a minimum - three - using phenomenologically based considerations. We also discuss CP violating asymmetries.
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                Author and article information

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                Publication date Created: 21 November 2011
                Publication date Updated: 2015-09-16
                Article
                DOI: 10.1103/PhysRevD.86.014023
                ArXiV ID: 1111.5000
                SO-VID: ed163d49-fee3-4124-af20-b17d666396ae
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                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Report No UCHEP-11-13
                Journal reference Phys.Rev. D86 (2012) 014023
                Comments 5 pages, 2 figures. Corrected numerical error; our estimated range for Delta A_CP is reduced by a factor of two
                Categories hep-ph

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