Erratum for: A&A 543, A2 (2012), https://doi.org/10.1051/0004-6361/201118224

We report a missing factor, a(χ), in the ξ_±-related integrands of the original paper. This typographical error in Eqs. (11), (16), and (17) has no impact on our results and conclusions; the correct integrands were used in the original analysis.

A detailed list of the three typographical errors follows. First, the integral for the shear-shear correlations in Eq. (11) should have the factor a²(χ) in the denominator of the integrand (instead of just a(χ)),

$$\begin{array}{cc}& {\xi }_{\pm }^{(ij)}(\theta )=\hfill \\ \hfill & \frac{9H_0^4{\mathrm{\Omega }}_{\mathrm{m}}^2}{4c^4}{\displaystyle {\int }_0^{{\chi }_{\mathrm{h}}}{\int }_0^{\infty }\frac{\mathrm{d}\chi \mathrm{d}\ell \ell }{2\pi }\frac{{\overline{W}}^{(i)}(\chi ){\overline{W}}^{(j)}(\chi )}{a^2(\chi )}{J}_{0,4}(\ell \theta )P_{\delta }(\frac{\ell }{f_{\mathrm{k}}(\chi )},\chi ).}\hfill \end{array}$$(1)

Second, the integral for the basis functions in Eq. (16) should also have the factor a²(χ),

$$\begin{array}{cc}& X_{\pm }^{(ij)}(\theta ;m,n):=\frac{9H_0^4{\mathrm{\Omega }}_{\mathrm{m}}^2}{8\pi c^4{\theta }^2}\times \hfill \\ \hfill & {\displaystyle {\int }_{{\chi }_n}^{{\chi }_{n+1}}\mathrm{d}\chi \frac{{\overline{W}}^{(i)}(\chi ){\overline{W}}^{(j)}(\chi )}{a^2(\chi )}\underset{k_m{f}_{\mathrm{k}}(\chi )\theta }{\overset{k_{m+1}{f}_{\mathrm{k}}(\chi )\theta }{\int }}\mathrm{d}ss{J}_{0,4}(s)P_{\delta }^{\mathrm{fid}}(\frac{s}{f_{\mathrm{k}}(\chi )\theta },\chi ).}\hfill \end{array}$$(2)

Third, the integral in Eq. (17) must have the factor a²(χ),

$$\begin{array}{cc}& {\xi }_{\pm ,\mathrm{f}id}^{(ij)}(\theta ):=\frac{9H_0^4{\mathrm{\Omega }}_{\mathrm{m}}^2}{8\pi c^4{\theta }^2}\times \hfill \\ \hfill & {\displaystyle {\int }_0^{{\chi }_{\mathrm{h}}}\mathrm{d}\chi \frac{{\overline{W}}^{(i)}(\chi ){\overline{W}}^{(j)}(\chi )}{a^2(\chi )}\underset{0}{\overset{\infty }{\int }}\mathrm{d}ss{J}_{0,4}(s)P_{\delta }^{\mathrm{fid}}(\frac{s}{f_{\mathrm{k}}(\chi )\theta },\chi ).}\hfill \end{array}$$(3)

All three of the correct equations shown here were used in our original analysis. Therefore, the corrections have no impact on our results and conclusions of the original paper.

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