IbdFirstOrder

Description

Computes IBD cross section in a first order of perturbation theory, xsec transformation, transforms \(E_{\text{e}} \rightarrow E_{\nu}\), Enu transformation, and computes Jacobian for change of variables \(E_{\nu} \rightarrow E_{\nu}(E_{\text{e}})\).

Inputs

1. One-dimensional arrays of \(E_{\text{e}}\) and \(\cos\theta\) for Enu transformation.

2. One-dimensional arrays of \(E_\nu\) and \(\cos\theta\) for xsec transformation.

3. One-dimensional arrays of \(E_\nu\), \(\cos\theta\) and \(E_{\text{e}}\) for jacobian transformation.

Outputs

1. Two-dimensional array of \(E_{\nu}\).

2. Two-dimensional array of \(\sigma_{\text{IBD}}\).

3. Two-dimensional array of Jacobian values as function of \(E_{\text{e}}\) and \(\cos \theta\).

Implementation

See the Daya Bay paper on oscillation analysis based on 1230 days of data.