According to our Startup Database (see the top of this page) this program is "Installed with the software for Logitech products. Automatically checks for software upgrades AND new products, services and special offerings from Logitech".
This from Logitech:
QUOTE
If you want to remove this feature, simply remove "Logitech Desktop Messenger" from Add/Remove programs in the control panel.
See the
Logitech Product Support Index.