Sloppy Gino

1 1/2 pounds/675 g ground beef 3 thick slices pancetta, diced 1 tablespoon/15 ml olive oil 2 cloves garlic, minced 1 carrot, diced 1 celery stalk, diced 1 onion, minced 1 red bell pepper, diced Salt and freshly ground black pepper 2 cups/500 ml San Marzano tomatoes, pureed 1/2 cup/125 ml Parmigiano-Reggiano, Piave or pecorino cheese, grated, plus more, shaved, for garnish 1/2 cup/125 ml ketchup or chili sauce 2 tablespoons/30 ml smoked paprika 2 tablespoons/30 ml brown sugar 1 tablespoon/15 ml red wine vinegar 1 tablespoon/15 ml Worcestershire sauce Pinch cayenne pepper A couple fresh thyme sprigs, minced 1 jalapeno pepper, minced Chopped chives, for garnish 4 hamburger buns