Hi Yann,
I think that 3-4 months on a set of batteries for a wireless mouse is within the range of normal. What size are the batteries? AA? AAA?
I had a wireless Logitech trackball and its pair of AAs would last at least 6 months. I have a wireless
BenQ M310 and its pair of smaller capacity AAAs would last more like 2+ months. I've just received a
RadTech/BlueTake BT500 bluetooth mouse which also uses a pair of the smaller capacity AAAs, and I therefore expect battery life similar to that of the BenQ.
While both the BenQ and RadTech seem to have a 'sleep' function, a nice feature of the RadTech/BlueTake BT500 is an on/off switch, which should help further with battery life.
best of luck,
...ben