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  1. null (Ed.)
    We present a classification theorem for separable amenable simple stably projectionless C -algebras with finite nuclear dimension whose K0 vanish on traces which satisfy the Universal Coefficient Theorem. One of C -algebras in the class is denoted by Z0 which has a unique tracial state, K_0(Z_0) = Z and K1(Z_0) = {0}. Let A and B be two separable amenable simple C -algebras satisfying the UCT. We show that A ⊗ Z_0 = B ⊗ Z_0 if and only if Ell(A ⊗ Z_0 ) = Ell(B ⊗ Z_0 ). A class of simple separable C -algebras which are approximately sub-homogeneous whose spectra having bounded dimension is shown to exhaust all possible Elliott invariant for C -algebras of the form A ⊗ Z_0 , where A is any finite separable simple amenable C -algebras. 
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  2. Elliott, G.A. (Ed.)
    A classification theorem is obtained for a class of unital simple separable amenable Z-stable C*-algebras which exhausts all possi- ble values of the Elliott invariant for unital stably finite simple separable amenable Z-stable C*-algebras. Moreover, it contains all unital simple separable amenable C∗-algebras which satisfy the UCT and have finite rational tracial rank. 
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  3. Elliott, G.A. (Ed.)
    A class of C*-algebras, to be called those of generalized tracial rank one, is introduced. A second class of unital simple separable amenable C*-algebras, those whose tensor products with UHF-algebras of infinite type are in the first class, to be referred to as those of rational generalized tracial rank one, is proved to exhaust all possible values of the Elliott invariant for unital finite simple separable amenable Z-stable C*- algebras. A number of results toward the classification of the second class are presented including an isomorphism theorem for a special sub-class of the first class, leading to the general classification of all unital simple C*- algebras with rational generalized tracial rank one in Part II. 
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  4. null (Ed.)
    The class of simple separable KK-contractible (KK-equivalent to \{0\} ) C*-algebra s which have finite nuclear dimension is shown to be classified by the Elliott invariant. In particular, the class of C*-algebras A\otimes K is classifiable, where A is a simple separable C*-algebra with finite nuclear dimension and is the simple inductive limit of Razak algebras with unique trace, which is bounded 
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  5. We study a class of stably projectionless simple C*-algebras which may be viewed as having generalized tracial rank one in analogy with the unital case. Some struc- tural questions concerning these simple C*-algebras are studied. The paper also serves as a technical support for the classification of separable stably projectionless simple amenable Jiang-Su stable C*-algebras. 
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  6. A<sc>bstract</sc>

    A comprehensive study of the local and nonlocal amplitudes contributing to the decayB0K*0(→K+π)μ+μis performed by analysing the phase-space distribution of the decay products. The analysis is based onppcollision data corresponding to an integrated luminosity of 8.4 fb1collected by the LHCb experiment. This measurement employs for the first time a model of both one-particle and two-particle nonlocal amplitudes, and utilises the complete dimuon mass spectrum without any veto regions around the narrow charmonium resonances. In this way it is possible to explicitly isolate the local and nonlocal contributions and capture the interference between them. The results show that interference with nonlocal contributions, although larger than predicted, only has a minor impact on the Wilson Coefficients determined from the fit to the data. For the local contributions, the Wilson Coefficient$$ {\mathcal{C}}_9 $$C9, responsible for vector dimuon currents, exhibits a 2.1σdeviation from the Standard Model expectation. The Wilson Coefficients$$ {\mathcal{C}}_{10} $$C10,$$ {\mathcal{C}}_9^{\prime } $$C9and$$ {\mathcal{C}}_{10}^{\prime } $$C10are all in better agreement than$$ {\mathcal{C}}_9 $$C9with the Standard Model and the global significance is at the level of 1.5σ. The model used also accounts for nonlocal contributions fromB0→ K*0[τ+τ→ μ+μ] rescattering, resulting in the first direct measurement of thebsττvector effective-coupling$$ {\mathcal{C}}_{9\tau } $$C9τ.

     
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    Free, publicly-accessible full text available September 1, 2025
  7. A search for hidden-charm pentaquark states decaying to a range ofΣcD¯andΛc+D¯final states, as well as doubly charmed pentaquark states toΣcDandΛc+D, is made using samples of proton-proton collision data corresponding to an integrated luminosity of5.7fb1recorded by the LHCb detector ats=13TeV. Since no significant signals are found, upper limits are set on the pentaquark yields relative to that of theΛc+baryon in theΛc+pKπ+decay mode. The known pentaquark states are also investigated, and their signal yields are found to be consistent with zero in all cases.

    © 2024 CERN, for the LHCb Collaboration2024CERN 
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    Free, publicly-accessible full text available August 1, 2025
  8. A<sc>bstract</sc>

    A search for the fully reconstructed$$ {B}_s^0 $$Bs0→ μ+μγdecay is performed at the LHCb experiment using proton-proton collisions at$$ \sqrt{s} $$s= 13 TeV corresponding to an integrated luminosity of 5.4 fb1. No significant signal is found and upper limits on the branching fraction in intervals of the dimuon mass are set$$ {\displaystyle \begin{array}{cc}\mathcal{B}\left({B}_s^0\to {\mu}^{+}{\mu}^{-}\gamma \right)<4.2\times {10}^{-8},& m\left({\mu}^{+}{\mu}^{-}\right)\in \left[2{m}_{\mu },1.70\right]\textrm{GeV}/{c}^2,\\ {}\mathcal{B}\left({B}_s^0\to {\mu}^{+}{\mu}^{-}\gamma \right)<7.7\times {10}^{-8},&\ m\left({\mu}^{+}{\mu}^{-}\right)\in \left[\textrm{1.70,2.88}\right]\textrm{GeV}/{c}^2,\\ {}\mathcal{B}\left({B}_s^0\to {\mu}^{+}{\mu}^{-}\gamma \right)<4.2\times {10}^{-8},& m\left({\mu}^{+}{\mu}^{-}\right)\in \left[3.92,{m}_{B_s^0}\right]\textrm{GeV}/{c}^2,\end{array}} $$BBs0μ+μγ<4.2×108,mμ+μ2mμ1.70GeV/c2,BBs0μ+μγ<7.7×108,mμ+μ1.70, 2.88GeV/c2,BBs0μ+μγ<4.2×108,mμ+μ3.92mBs0GeV/c2,

    at 95% confidence level. Additionally, upper limits are set on the branching fraction in the [2mμ,1.70] GeV/c2dimuon mass region excluding the contribution from the intermediateϕ(1020) meson, and in the region combining all dimuon-mass intervals.

     
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    Free, publicly-accessible full text available July 1, 2025