Abstract: 
The invention relates to a tyre (1) for a private passenger vehicle and is intended to improve longitudinal and lateral wet and dry grip relative to the reference prior art, while maintaining the same performance levels in terms of behaviour, in particular at low lateral acceleration, and wear. According to the invention, the volume grooving rate of the tread (2) is at least equal to 20% and at most equal to 29% and the radial height (Hs) of the raised elements (22) of the tread (2) is at least equal to 6.0 mm and at most equal to 7.6 mm. The elastomer blend used for the tread (2) has a glass transition (GT) temperature that is at least equal to  18°C and at most equal to 6°C, a Shore hardness A that is at least equal to 60 and at most equal to 75, and a loss at 60°C that is at least equal 24% and at most equal to 35%, and comprises a modified diene elastomer containing at least one functional group comprising a silicon atom, the latter being located within the backbone of the elastomer including the chain ends. The textile reinforcements of the hooping ply (31) of the hooping reinforcement (3) comprise an aromatic polyamide, such as aramid, and the metal reinforcements of each of the working plies (41, 42) of the working reinforcement (4) form an angle (AT1, AT2) with the circumferential direction XX’ of the tyre having an absolute value that is at least equal to 25° and at most equal to 40°.
