  It has been recently pointed out that the polarization BICEP2 results are
consistent with the identification of an inflaton mass m \simeq 10^{13} GeV
with the SUSY breaking scale in an MSSM with a fine-tuned SM Higgs. This
identification leads to a Higgs mass m_h \simeq 126 GeV, consistent with LHC
measurements. Here we propose that this naturally suggests to identify the
inflaton with the heavy MSSM Higgs system. The fact that the extrapolated Higgs
coupling lambda_{SM}\simeq 0 at scales below the Planck scale suggests the
Higgs degrees of freedom could be associated to a Wilson line or D-brane
position modulus in string theory. The Higgs system then has a shift symmetry
and an N=2 structure which guarantees that its potential has an approximate
quadratic chaotic inflation form. These moduli in string compactifications,
being compact, allow for a trans-Planckian inflaton field range analogous to a
version of monodromy inflation.
