Although B&W D4 is rated 89 dB sensitivity and 8 ohms (seemingly a relatively high sensitivity speakers), larger wattage with clean high current amp is required to reach its potential. In particular, if you want to explore its the low ends (down to 24 hz) and extends its renowned soundstage, you probably need to upgrade the amp.
But, before doing so, try the followings first (ignore these if you have already done so). I have Cambridge Azur 851a which has similar features with CXA80. First, always use "Direct" mode to bypass the tone control, which is supposed to render better sound quality. CXA 81 actually gets rid of tone control. Also, connect the sound source (like DAC; CXA80's internal DAC is not that impressive) to the Integrated using XLR. I attain better sound quality (more dynamics etc.) too not just louder.