Pat chops dry and season with salt and pepper. Heat oil in a skillet and brown chops for 2 minutes per side in two batches; transfer to a 6-quart slow cooker.
Cook onion, bell pepper and celery in the skillet for 5 minutes. Add garlic for 30 seconds, then stir in tomatoes, broth, Worcestershire, paprika, thyme, cayenne and bay leaf and scrape up browned bits.
Pour the vegetable mixture over the chops. Cover and cook on low for 6 hours until fork-tender; the pork must be at least 145°F and these marbled blade chops will usually be around 190°F when their connective tissue softens.
Lift chops carefully to a platter and remove the bay leaf. If the sauce is watery, transfer it to a saucepan and simmer for 5 to 10 minutes until lightly thickened.
Let pork rest for at least 3 minutes after lifting, then spoon the hot tomato-pepper sauce around each chop and serve.