Measurements of total production cross sections for ${\pi }^{+}$+C, ${\pi }^{+}$+Al, $K^{+}$+C, and $K^{+}$+Al at 60 GeV/c and ${\pi }^{+}$+C and ${\pi }^{+}$+Al at 31 GeV/c

This paper presents several measurements of total production cross sections and total inelastic cross sections for the following reactions: ${\pi }^{+}$+C, ${\pi }^{+}$+Al, $K^{+}$+C, $K^{+}$+Al at 60 GeV/c, ${\pi }^{+}$+C and ${\pi }^{+}$+Al at 31 GeV/c . The measurements were made using the NA61/SHINE spectrometer at the CERN SPS. Comparisons with previous measurements are given and good agreement is seen. These interaction cross sections measurements are a key ingredient for neutrino flux prediction from the reinteractions of secondary hadrons in current and future accelerator-based long-baseline neutrino experiments.