Erratum: Probing lepton nonuniversality in tau neutrino scattering [Phys. Rev. D 92, 073016 (2015)]

Figure 1

The allowed region (green area) for the left- and right-handed couplings $V_L$ and $V_R$. The constraints are from ${\tau }^{-}\to {\pi }^{-}{\nu }_{\tau }$ and ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$.

Figure 2

The allowed regions for the left- and right-handed complex couplings $V_L$ and $V_R$. The constraint are from ${\tau }^{-}\to {\pi }^{-}{\nu }_{\tau }$ and ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$. Left panel: We take $V_R=0$ and treat $V_L$ as a complex coupling. The allowed region is the contour ring. Right panel: We take $V_L=0$ and treat $V_R$ as a complex coupling. The allowed region is the overlap area between the two contour rings.

Figure 3

$V\pm A$ model: The ratio between the total cross section of ${\nu }_{\tau }+N\to \tau +X$ to ${\nu }_{\mu }+N\to \mu +X$ in the $V\pm A$ model. The green line corresponds to the standard model predictions $V_L=V_R=0$. The red dot-dashed line corresponds to $(V_L,V_R)=(0.016,0.006)$.

Figure 4

$V\pm A$ model: The ratio between the differential cross section $(d\sigma /dxdy)$ of ${\nu }_{\tau }+N\to \tau +X$ to ${\nu }_{\mu }+N\to \mu +X$ in the $V\pm A$ model. The green lines correspond to the standard model predictions $V_L=V_R=0$. The blue, black, and red lines correspond to $(V_L,V_R)=(0.016,0.006)$. The blue and green dashed lines correspond to $(x,y)=(0.95,A+B)$. The red and green dot-dashed lines correspond to $(x,y)=(0.475,(A+B)/2)$. The black and green dotted lines correspond to $(x,y)=(\frac{m_{\tau }^2}{2M(E_{\nu }-m_{\tau })},A-B)$.

Figure 5

$V\pm A$ model: The ratio between the differential cross section $(d\sigma /dt)$ of ${\nu }_{\tau }+N\to \tau +X$ to ${\nu }_{\mu }+N\to \mu +X$ in the $V\pm A$ model. The green lines correspond to the standard model predictions $V_L=V_R=0$. The blue, black, and red lines correspond to $(V_L,V_R)=(0.016,0.006)$ at $E_{\nu }=30$, 20, and 10 GeV, respectively. The physical region of the momentum transfer is taken to be $Q_{-}^2(W_{\text{cut}})\le Q^2\le Q_{+}^2(W_{\text{cut}})$.

Figure 6

$V\pm A$ model: The total cross section of ${\nu }_{\tau }+N\to \tau +X$ in the $V\pm A$ model. The green line corresponds to the standard model predictions $V_L=V_R=0$. The red dot-dashed line corresponds to $(V_L,V_R)=(0.016,0.006)$.

Figure 7

$V\pm A$ model: The differential cross section $(d\sigma /dxdy)$ of ${\nu }_{\tau }+N\to \tau +X$ in the $V\pm A$ model. The green lines correspond to the standard model predictions $V_L=V_R=0$. The blue, black, and red lines correspond to $(V_L,V_R)=(0.016,0.006)$. The blue and green dashed lines correspond to $(x,y)=(0.95,A+B)$. The red and green dot-dashed lines correspond to $(x,y)=(0.475,(A+B)/2)$. The black and green dotted lines correspond to $(x,y)=(\frac{m_{\tau }^2}{2M(E_{\nu }-m_{\tau })},A-B)$.

Figure 8

$V\pm A$ model: The differential cross section $(d\sigma /dt)$ of ${\nu }_{\tau }+N\to \tau +X$ in the $V\pm A$ model. The green lines correspond to the standard model predictions $V_L=V_R=0$. The blue, black, and red lines correspond to $(V_L,V_R)=(0.016,0.006)$ at $E_{\nu }=30$, 20, and 10 GeV, respectively. The physical region of the momentum transfer is taken to be $Q_{-}^2(W_{\text{cut}})\le Q^2\le Q_{+}^2(W_{\text{cut}})$.