From wiki: In telecommunications, a matched filter is obtained by correlating a known signal, or template, with an unknown signal to detect the presence of the template in the unknown signal.
So the output of matched filter is correlation between received signal and template. The less correlation - the more the BER.
Or in terms of SNR (the same wiki article): The matched filter is the linear filter, h, that maximizes the output signal-to-noise ratio.
The less the output - the less the SNR which leads to BER growth.