0.6cm

UCB-PTH-14/07

1.9cm

[**Grand Unification, Axion, and Inflation in\
Intermediate Scale Supersymmetry**]{}

0.7cm

[Lawrence J. Hall, Yasunori Nomura, and Satoshi Shirai]{}

0.4cm [*Berkeley Center for Theoretical Physics, Department of Physics,\
and Theoretical Physics Group, Lawrence Berkeley National Laboratory,\
University of California, Berkeley, CA 94720, USA*]{}\
0.8cm

Introduction {#sec:intro}
============

The key discovery from the first run of the Large Hadron Collider (LHC) is a highly perturbative Higgs boson coupled with no sign of any new physics that would allow a natural electroweak scale. Remarkably, the value of the Higgs mass implies that the Standard Model (SM) remains perturbative to very high energy scales. Although this “Lonely Higgs” picture could easily be overturned by discoveries at the next run of the LHC, at present we are confronted with a very surprising situation. A variety of new physics possibilities was introduced in the 1970s and 1980s yielding a standard paradigm of a natural weak scale that was almost universally accepted. While the absence of new physics at LEP and elsewhere led to doubts about naturalness, the Lonely Higgs discovery at LHC warrants new thinking on the naturalness of the weak scale and the likely mass scale of new physics.

An intriguing feature 