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Assuming the existence of one light sterile neutrino, we investigate theneutrino flavor mixing matrix in matter. Sum rules between the mixingparameters in vacuum and their counterparts in matter are derived. By usingthese new sum rules, we obtain the simple but exact expressions of theeffective flavor mixing matrix in matter in terms of neutrino masses and themixing parameters in vacuum. The rephasing invariants, sides of unitarityquadrangles and oscillation probabilities in matter are also achieved. Ourmodel-independent results will be very helpful for analyzing flavor mixing andCP violation in the future long-baseline neutrino oscillation experiments.Comment: 7 page

SUM RULES OF FOUR-NEUTRINO MIXING IN MATTER