A pneumatic tire comprising: a pair of sidewalls; a pair of beads: a pair of chafers; and a carcass, wherein each chafer extends from a position axially outward of a corresponding one of the beads to a position radially inward of the corresponding one of the beads,the sidewalls extend to positions between the beads and the chafers, respectively, the carcass includes a carcass ply, the carcass ply includes a main portion that extends from one of the beads to the other of the beads, and turned-up portions that extend in a radial direction in portions axially outward of the beads, the chafers extend to positions outward of ends of the turned-up portions in the radial direction, and when a side surface represents a portion of an outer surface of each chafer which contacts with a flange of a rim, an outline of the side surface has an arc C that extends from a heel of the bead portion and projects inward, characterized in that a complex elastic modulus Es of each sidewall is less than a complex elastic modulus Ec of each chafer, a loss tangent LTs of each sidewall is less than a loss tangent LTc of each chafer, and a curvature radius R of the arc C is not less than 20 mm and not greater than 50 mm. a pair of sidewalls; a pair of beads: a pair of chafers; and a carcass, wherein each chafer extends from a position axially outward of a corresponding one of the beads to a position radially inward of the corresponding one of the beads,the sidewalls extend to positions between the beads and the chafers, respectively, the carcass includes a carcass ply, the carcass ply includes a main portion that extends from one of the beads to the other of the beads, and turned-up portions that extend in a radial direction in portions axially outward of the beads, the chafers extend to positions outward of ends of the turned-up portions in the radial direction, and when a side surface represents a portion of an outer surface of each chafer which contacts with a flange of a rim, an outline of the side surface has an arc C that extends from a heel of the bead portion and projects inward, characterized in that a complex elastic modulus Es of each sidewall is less than a complex elastic modulus Ec of each chafer, a loss tangent LTs of each sidewall is less than a loss tangent LTc of each chafer, and a curvature radius R of the arc C is not less than 20 mm and not greater than 50 mm. a pair of chafers; and a carcass, wherein each chafer extends from a position axially outward of a corresponding one of the beads to a position radially inward of the corresponding one of the beads,the sidewalls extend to positions between the beads and the chafers, respectively, the carcass includes a carcass ply, the carcass ply includes a main portion that extends from one of the beads to the other of the beads, and turned-up portions that extend in a radial direction in portions axially outward of the beads, the chafers extend to positions outward of ends of the turned-up portions in the radial direction, and when a side surface represents a portion of an outer surface of each chafer which contacts with a flange of a rim, an outline of the side surface has an arc C that extends from a heel of the bead portion and projects inward, characterized in that a complex elastic modulus Es of each sidewall is less than a complex elastic modulus Ec of each chafer, a loss tangent LTs of each sidewall is less than a loss tangent LTc of each chafer, and a curvature radius R of the arc C is not less than 20 mm and not greater than 50 mm.