To lossless convert mts files on Mac, I highly recommend iDealshare VideoGo which can batch convert MTS, M2TS AVCHD without losing video and audio quality on Mac and Windows.
It can easily convert MTS files MTS to Apple ProRes, MP4, MOV, AVI, WMV, MKV, DV, TS, MPEG-1, MPEG-2, MPEG-4, HEVC, H.265, H.264, ASF, SWF, FLV, WebM and etc.
Step by stepg guide at http://www.idealshare.net/video-converter/mts-converter-for-mac-windows.html