Recording rights?

[SunsetMan]

Hello,

I am a singer/Songwriter. I have composed my own song in a DAW where I play all the instruments and
Sing main vocals and harmonies.

I did copywrite the song under my name at the US copyright office.

I would like to get my track professionally mixed and mastered.

My question is, if I provide my track
And use a recording company solely as work for hire to mix and master my track, does the recording company own any rights at all on my track?

Thanks