Why not play cricket with Pakistan?

Sports and politics need to be kept separate. There are so many countries in the world that are as hostile against each other as India and Pakistan. They still confront each other in sporting events. No country has boycotted an event just because of the other country. Similarly, why should India boycott any match with Pakistan? This time it is the Asia Cup. Next time it may be the World Cup. Would India boycott playing Pakistan then also?