Photometry and spectroscopy of multiple populations along the AGB of
  NGC2808 and NGC6121 (M4)
  We present a photometric and spectroscopic study of multiple populations
along the asymptotic-giant branch (AGB) of the intermediate-metallicity
globular clusters (GCs) NGC2808 and NGC6121 (M4). Chemical abundances of O, Na,
Mg, Al, Si, Ca, Sc, Ti, V, Cr, Fe, Co, Ni, Zn, Y, and Ce in AGB stars from
high-resolution FLAMES+UVES@VLT spectra are reported for both clusters. Our
spectroscopic results have been combined with multi-wavelength photometry from
the HST UV survey of Galactic GCs and ground-based photometry, plus proper
motions derived by combining stellar positions from ground-based images and
Gaia DR1. Our analysis reveals that the AGBs of both clusters host multiple
populations with different chemical composition.
  In M4 we have identified two main populations of stars with different Na/O
content, lying on distinct AGBs in the mF438W vs. C_F275W,F336W,F438W and the V
vs.C_U,B,I pseudo-CMDs. In the more massive and complex GC NGC2808 three groups
of stars with different chemical abundances occupy different locations on the
so-called "chromosome map" photometric diagram. The spectroscopic+photometric
comparison of stellar populations along the AGB and the red giants of this GC
suggests that the AGB hosts stellar populations with a range in helium
abundances spanning from primordial up to high contents of Y~0.32. On the other
hand, from our dataset, there is no evidence for stars with extreme helium
abundance (Y~0.38) on the AGB, suggesting that the most He-rich stars of
NGC2808 do not reach this phase.
