In the USA the old channels 1 to 13 are no more and most folk call those analog. The new channels are capable of transmitting HD but some pump out less than HD for reasons I won't get into.
http://www.lg.com/us/tvs/lg-40LH5000-led-tv does not list the RF as analog but the usual tuner so in short, yes you should pick the new HD channels within the capability of the antenna and tuner.
In parting, when folk get more than one TV and antenna installed they always discover that one set or the other will pick up other channels. This is normal for antenna TV. Folk seem to forget this so I'll add it here.
I'm looking to buy a bedroom tv, the LG 40LH5000. I have a Samsung tv in the living room with a digital TV tuner and I purchased the mohu leaf antenna and I'm able to get local channels in HD.
Now my question is, using the mohu leaf antenna, will I be able to view local TV channels in hd with the LG 40LH5000 tv if it's tv tuner is listed as "analog"?
I'd appreciate any insight.