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

Abstract

Searches for CP violation in the two-body decays $$ {D}_{(s)}^{+}\to {h}^{+}{\pi}^0 $$ D s + → h + π 0 and $$ {D}_{(s)}^{+}\to {h}^{+}\eta $$ D s + → h + η (where h+ denotes a π+ 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 π0 and η mesons are reconstructed using the e+e−γ final state, which can proceed as three-body decays π0→ e+e−γ and η → e+e−γ, or via the two-body decays π0→ γγ and η → γγ followed by a photon conversion. The measurements are made relative to the control modes $$ {D}_{(s)}^{+}\to {K}_{\mathrm{S}}^0{h}^{+} $$ D s + → K S 0 h + to cancel the production and detection asymmetries. The CP asymmetries are measured to be$$ {\displaystyle \begin{array}{c}{\mathcal{A}}_{CP}\left({D}^{+}\to {\pi}^{+}{\pi}^0\right)=\left(-1.3\pm 0.9\pm 0.6\right)\%,\\ {}{\mathcal{A}}_{CP}\left({D}^{+}\to {K}^{+}{\pi}^0\right)=\left(-3.2\pm 4.7\pm 2.1\right)\%,\\ {}\begin{array}{c}{\mathcal{A}}_{CP}\left({D}^{+}\to {\pi}^{+}\eta \right)=\left(-0.2\pm 0.8\pm 0.4\right)\%,\\ {}{\mathcal{A}}_{CP}\left({D}^{+}\to {K}^{+}\eta \right)=\left(-6\pm 10\pm 4\right)\%,\\ {}\begin{array}{c}{\mathcal{A}}_{CP}\left({D}_s^{+}\to {K}^{+}{\pi}^0\right)=\left(-0.8\pm 3.9\pm 1.2\right)\%,\\ {}\begin{array}{c}{\mathcal{A}}_{CP}\left({D}_s^{+}\to {\pi}^{+}\eta \right)=\left(0.8\pm 0.7\pm 0.5\right)\%,\\ {}{\mathcal{A}}_{CP}\left({D}_s^{+}\to {K}^{+}\eta \right)=\left(0.9\pm 3.7\pm 1.1\right)\%,\end{array}\end{array}\end{array}\end{array}} $$ A CP D + → π + π 0 = − 1.3 ± 0.9 ± 0.6 % , A CP D + → K + π 0 = − 3.2 ± 4.7 ± 2.1 % , A CP D + → π + η = − 0.2 ± 0.8 ± 0.4 % , A CP D + → K + η = − 6 ± 10 ± 4 % , A CP D s + → K + π 0 = − 0.8 ± 3.9 ± 1.2 % , A CP D s + → π + η = 0.8 ± 0.7 ± 0.5 % , A CP D s + → K + η = 0.9 ± 3.7 ± 1.1 % , where the first uncertainties are statistical and the second systematic. These results are consistent with no CP violation and mostly constitute the most precise measurements of $$ {\mathcal{A}}_{CP} $$ A CP in these decay modes to date.

A $U$-Spin Anomaly in Charm CP Violation

“…After the discovery of CP violation in charm decays [1], recently, there have again been several important advances in the measurement of mixing and CP violation in charm decays [2][3][4][5][6][7][8][9], see Ref. [10] for most recent world averages and global fits.…”

Lepton universality violation from neutral pion decays in RK(*) measurements

“…The e þ e − γ invariant mass could be measured precise enough at LHCb-nominally at Oð10 MeVÞ uncertainty [15]-to reconstruct the π 0 , providing a handle to reject this background. However, combinatoric challenges plus related studies with merged photons [16] suggest this cannot be done with the high efficiencies required, especially in the case that the daughter photon of the π 0 may itself either be reconstructed as bremsstrahlung or is soft enough to be lost.…”

Lepton universality violation from neutral pion decays in $R_{K^{(*)}}$ measurements

“…Other b → sγ transitions might also contribute similarly to R K , such as B → Kπ 0 π 0 γ, and the same effect may occur in R K * measurements. The e + e − γ invariant mass could be measured precise enough at LHCb-nominally at O(10 MeV) uncertainty [13]-to reconstruct the π 0 , providing a handle to reject this background. However, combinatoric challenges plus related studies with merged photons [14] suggest this cannot be done with the high efficiencies required, especially in the case that the daughter photon of the π 0 may itself either be reconstructed as Bremsstrahlung or is soft enough to be lost.…”