Preheat the oven to 450 degrees F. Line a baking sheet with parchment paper.: As the oven ramps up you will notice a warm hum and rising heat, which is essential to get instant contact browning on the vegetables. Preheating ensures the moment the pan hits the oven the food begins to sear, producing those delightful browned edges. If you skip preheating the vegetables will steam rather than caramelize, leaving them pale and less flavorful. Be careful when handling the hot oven; always use an oven mitt and confirm the rack is in the middle position so heat circulates evenly.
On the prepared pan, toss the green beans, radishes and white scallions with 2 tablespoons olive oil and 1/2 teaspoon salt. Arrange in an even layer and roast in the oven for 10 minutes, or until the vegetables are starting to shrivel.: You should hear a faint sizzle as the pan enters the oven, and after several minutes the vegetables will give off a nutty aroma. Look for tiny browned spots at the edges and a slight collapse in the radishes which signals they are concentrating their sugars. Spreading them in a single layer helps each piece brown instead of steaming. A common slip is piling the vegetables, which results in uneven cooking and soggy texture.
Meanwhile, make the miso glaze: in a small mixing bowl or 2-cup measure, whisk together the white miso, red curry paste, lime juice and 2 tablespoons olive oil.: in a small mixing bowl or 2-cup measure, whisk together the white miso, red curry paste, lime juice and 2 tablespoons olive oil. : As you whisk the mixture becomes glossy and smooth, the lime brightening the miso and the red curry paste perfuming the glaze. Whisk until there are no lumps and the oil is emulsified, which helps it cling to the fish later. If the glaze is too thick you can add a drop of warm water to loosen it; if too thin, add a touch more miso. Proper texture ensures even coating and prevents the miso from burning on the tray.
Remove the pan from the oven and toss the veggies with the green scallions and half of the miso mixture until well-coated. Return to an even layer and nestle the cod loins in the veggies so they are touching the bottom of the pan. Season the fish with salt and slather with the remaining miso glaze so it’s fully coated in every nook and cranny.: When you pull the tray out the kitchen fills with roasted fragrance and you can hear a soft hiss. Tossing the hot vegetables with the scallion greens lifts their aroma and wilts the greens slightly. Nestling the cod right into the vegetables keeps the fish moist as it roasts, while the glaze forms a shiny crust. Salt the fish sparingly since the white miso paste already adds saltiness. A common error is applying too much glaze which can mask the fish; aim for an even thin layer that will caramelize neatly.
Return the sheet pan cod to the oven for 10 minutes, or until the fish is cooked through and the vegetables are caramelized and tender. Serve immediately over white rice or salad greens.: During these final minutes you will notice the glaze darken slightly and the edges of the vegetables take on deeper golden tones. The cod will flake when tested with a fork at its thickest point and should feel just firm to the touch. Letting the fish overcook will dry it out, so begin checking toward the lower end of the time range. If you prefer more char on the vegetables, you can broil for a minute with close attention, but watch closely because miso can burn quickly under direct heat.