
Heat oil in a pot over medium-hight heat; sauté onion until soft. Add the garlic and sauté until fragrant (about 30 seconds).
Stir in stock or broth, jalapeños, cilantro, cumin and oregano. Bring to a boil, reduce heat and simmer for 10 minutes.
Add turkey (or chicken) and beans; simmer for 5 minutes.
Mix cornstarch with 1/4 cup of half and half, evaporated milk or cream. Stir into the chili. Add in remaining cream, mixing well to blend.
Take off the heat. Season with salt and pepper to taste. Adjust spices and heat to suit your taste.
Serve warm.