Pour 1/4 cup pomegranate juice into a bowl wide enough for a margarita glass. Spread the kosher salt on a small plate. Dip the rims of the margarita glasses into the juice and then into the salt.

In a large pitcher, combine the remaining pomegranate juice, tequila, triple sec and lime juice. In batches, shake in a cocktail shaker with ice and strain into the glasses. Garnish with a lime slice and jalapeños before serving.