# Null tests from angular distributions in D →p1P2l+l-, l=e, μ decays on and off peak

de Boer, Stefan; Hiller, Gudrun

Abstract:
We systematically analyze the full angular distribution in D → P$_{1}$P$_{2}$l⁺l¯ decays, where P$_{1;2}$ = π, K, l = e, μ. We identify several null tests of the standard model (SM). Notably, the angular coefficients I$_{5;6;7}$,driven by the leptons’ axial-vector coupling C$^{(l)/10 }$, vanish by means of a superior Glashow-Iliopoulos-Maiani (GIM) cancellation and are protected by parity invariance below the weak scale. CP-odd observables related to the angular coefficients I$_{5;6;8;9}$ allow us to measure CP asymmetries without D tagging. The corresponding observables A$_{5;6;8;9}$ constitute null tests of the SM. Lepton universality in ǀΔcǀ = ǀΔuǀ = 1 transitions can be tested by comparing D → P$_{1}$P$_{2}$μ⁺μ¯ to D → P$_{1}$P$_{2}$e⁺e¯ decays. Data for P$_{1}$P$_{2}$ = π⁺π¯ and K⁺K¯ on muon modes are available from LHCb and on electron modes from BESIII. Corresponding ratios of dimuon to dielectron branching fractions are at least about an order of magnitude away from probing the SM. In the future electron and muon measurements should be made available for the same cuts as corresponding ratios R$^{D/P}$$_{P1P2}$ provide null t ... mehr

 Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP) Publikationstyp Zeitschriftenaufsatz Jahr 2018 Sprache Englisch Identifikator ISSN: 2470-0010, 2470-0029 urn:nbn:de:swb:90-900051 KITopen-ID: 1000090005 Erschienen in Physical review / D Band 98 Heft 3 Seiten Art. Nr.: 035041 Vorab online veröffentlicht am 28.08.2018 Nachgewiesen in Web of ScienceScopus
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