Search for $CP$ violation in $D_{(s)}^{+}\rightarrow h^{+}\pi^{0}$ and $D_{(s)}^{+}\rightarrow h^{+}\eta$ decays

LHCb collaboration, R. Aaij,C. Abellán Beteta,T. Ackernley, B. Adeva,M. Adinolfi,H. Afsharnia,C. A. Aidala,S. Aiola, Z. Ajaltouni,S. Akar, J. Albrecht, F. Alessio, M. Alexander,A. Alfonso Albero,Z. Aliouche, G. Alkhazov,P. Alvarez Cartelle, S. Amato, Y. Amhis, L. An, L. Anderlini,A. Andreianov, M. Andreotti,F. Archilli,A. Artamonov,M. Artuso, K. Arzymatov, E. Aslanides,M. Atzeni,B. Audurier,S. Bachmann,M. Bachmayer,J. J. Back,P. Baladron Rodriguez,V. Balagura, W. Baldini,J. Baptista Leite,R. J. Barlow, S. Barsuk,W. Barter,M. Bartolini,F. Baryshnikov,J. M. Basels,G. Bassi,B. Batsukh,A. Battig, A. Bay,M. Becker, F. Bedeschi, I. Bediaga,A. Beiter,V. Belavin,S. Belin,V. Bellee, K. Belous,I. Belov,I. Belyaev, G. Bencivenni, E. Ben-Haim,A. Berezhnoy, F. Bernard, R. Bernet,D. Berninghoff, H. C. Bernstein, C. Bertella,A. Bertolin, C. Betancourt,F. Betti,Ia. Bezshyiko,S. Bhasin,J. Bhom,L. Bian,M. S. Bieker,S. Bifani, P. Billoir,M. Birch, F. C. R. Bishop,A. Bitadze, A. Bizzeti,M. Bjørn,M. P. 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arXiv (Cornell University)(2021)

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Abstract
Searches for $CP$ violation in the two-body decays $D_{(s)}^{+}\rightarrow h^{+}\pi^{0}$ and $D_{(s)}^{+} \rightarrow h^{+}\eta$ (where $h^{+}$ denotes a $\pi^{+}$ or $K^{+}$ meson) are performed using $pp$ collision data collected by the LHCb experiment corresponding to either 9 fb$^{-1}$ or 6 fb$^{-1}$ of integrated luminosity. The $\pi^{0}$ and $\eta$ mesons are reconstructed using the $e^{+}e^{-}\gamma$ final state, which can proceed as three-body decays $\pi^{0}\rightarrow e^{+}e^{-}\gamma$ and $\eta \rightarrow e^{+}e^{-}\gamma$, or via the two-body decays $\pi^{0}\rightarrow \gamma\gamma$ and $\eta\rightarrow\gamma\gamma$ followed by a photon conversion. The measurements are made relative to the control modes $D_{(s)}^{+}\rightarrow K_{S}^{0} h^{+}$ to cancel the production and detection asymmetries. The $CP$ asymmetries are measured to be \begin{align} \mathcal{A}_{CP}(D^{+}\rightarrow \pi^{+}\pi^{0}) &= (-1.3 \pm 0.9 \pm 0.6 )\%, \\ \mathcal{A}_{CP}(D^{+}\rightarrow K^{+}\pi^{0}) &= (-3.2 \pm 4.7 \pm 2.1 )\%,
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$cp$
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