New empirical calibrations of the Red Giant Branch Tip in the I , J , H and K bands based on two fundamental pillars , namely \omega Centauri and 47 Tucanae , have been obtained by using a large optical and near infrared photometric database .

Our best estimates give M _ { I } ^ { TRGB } = -4.05 \pm 0.12 , M _ { J } ^ { TRGB } = -5.20 \pm 0.16 , M _ { H } ^ { TRGB } = -5.94 \pm 0.18 
and M _ { K } ^ { TRGB } = -6.04 \pm 0.16 at [ M / H ] \simeq - 1.5 ( \omega Cen ) and M _ { I } ^ { TRGB } = -3.91 \pm 0.13 , M _ { J } ^ { TRGB } = -5.47 \pm 0.25 , M _ { H } ^ { TRGB } = -6.35 \pm 0.30 
and M _ { K } ^ { TRGB } = -6.56 \pm 0.20 at [ M / H ] \simeq - 0.6 ( 47 Tuc ) .

With these new empirical calibrations we also provide robust relations of the TRGB magnitude in I , J , H and K bands as a function of the global metallicity .
It has also been shown that our calibrations self-consistently provide a distance modulus of the Large Magellanic Cloud in good agreement with the standard value ( ( m - M ) _ { 0 } \simeq 18.50 ) ) .