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We investigate the inclusion of 10-dimensional string loop corrections to theentropy function of two-charge extremal small black holes of the heteroticstring theory compactified on S^1 x T^5 and show that the entropy is given by\pi\sqrt{a q_1 q_2+b q_1} where q_1 and q_2 are the charges with q_1 >> q_2 >>1 and a and b are constants. Incorporating certain multi-string states into themicrostate counting, we show that the new statistical entropy is consistentwith the macroscopic scaling for one and two units of momentum (winding) andlarge winding (momentum). We discuss our scaling from the point of view ofrelated AdS_3 central charge and counting of chiral primaries in superconformalquantum mechanics as well.Comment: 18 page

Two-charge small black hole entropy: string-loops and multi-strings