INGREDIENTS
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1 (4-rib) standing beef rib roast (bone-in prime rib; 9 to 10 pounds)
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1/4 cup mixed peppercorns (pink, white, and green)
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3 tablespoons plus 2 1/2 teaspoons kosher salt, divided
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2 tablespoons chopped fresh thyme
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2 tablespoons chopped fresh rosemary
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1 tablespoon extra-virgin olive oil
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3 pounds medium Yukon Gold potatoes, peeled and each cut into 6 wedges (keep in a bowl of cold water to prevent discoloration)
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3 pounds carrots, peeled and cut diagonally into 2-inch pieces
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1 (750 milliliter) bottle Pinot Noir
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1/2 cup chopped shallots
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4 tablespoons unsalted butter, divided
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2 1/4 cups reduced-salt beef or chicken broth