In a food processor pulse together all sauce ingredients except oil and water until arugula is chopped fine. With motor running add oil in a stream, blending mixture until smooth. Sauce may be made up to this point 1 week ahead and chilled, its surface covered with plastic wrap. Bring sauce to room temperature to continue. Stir in 1/4 cup hot water plus additional for thinner consistency if desired. In a 6-quart saucepan bring broth and water to a boil. Add chicken and simmer, covered, 9 minutes. Remove pan from heat and let chicken stand in cooking liquid, covered, until, cooked through, about 20 minutes. Chicken may be poached 1 day ahead, cooled completely, uncovered, in cooking liquid, and chilled, covered. Bring chicken to room temperature to continue. Drain chicken and slice 1/4 inch thick. Serve with sauce.;
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