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1
In the bowl of a food processor, pulse the flour, baking powder, and salt until combined.
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2
Add the butter; pulse until the mixture resembles coarse meal.
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3
Transfer to a medium bowl; stir in the buttermilk and 1 cup of the sesame seeds until the mixture forms a dough.
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4
Divide into quarters; wrap in plastic.
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5
Chill 20 minutes.
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6
Preheat the oven to 350F.
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7
In a small bowl, whisk together the egg, sugar, and soy sauce.
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8
Transfer one piece of dough to a lightly floured work surface; roll out into a rectangle about 1/8 inch thick.
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9
Use a sharp knife or pizza wheel to cut the rectangle into strips about 3/8 inch wide and 10 inches long.
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10
Brush the strips with egg mixture; sprinkle with the remaining 1/4 cup sesame seeds.
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11
Arrange the strips on a parchment-lined baking sheet.
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12
Bake until just golden, 15 to 20 minutes.
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13
Transfer to a wire rack to cool.
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14
Repeat with remaining dough.
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15
Combine all the ingredients in the bowl of a food processor; pulse until smooth and creamy, adding more water if needed.
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16
Transfer to a serving dish or airtight container, and place in the refrigerator, covered, until ready to serve, up to 5 days.
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17
Serve chilled or at room temperature.
