Different inflationary models predict oscillatory features in the primordial power spectrum .
These can leave an imprint on both the cosmic microwave background ( CMB ) and the large-scale structure ( LSS ) of our Universe , that can be searched for with current data .
Inspired by the axion-monodromy model of inflation , we search for primordial oscillations that are logarithmic in wavenumber , using both CMB data from the Planck satellite and LSS data from the WiggleZ galaxy survey .
We find that , within our search range for the new oscillation parameters ( amplitude , frequency and phase ) , both CMB-only and CMB+LSS data yield the same best-fit oscillation frequency of \log _ { 10 } \omega = 1.5 , improving the fit over \Lambda CDM by \Delta \chi ^ { 2 } = -9 and \Delta \chi ^ { 2 } = -13 ( roughly corresponding to 2 \sigma and 2.8 \sigma significance ) , respectively .
Bayesian evidence for the log-oscillation model versus \Lambda CDM indicates a very slight preference for the latter .
Future CMB and LSS data will further probe this scenario .