Diphoton Resonance from a Warped Extra Dimension

TL;DR

This paper proposes a warped extra dimension model to explain the 750 GeV diphoton excess, predicting specific decay hierarchies and calculating production cross sections with implications for new physics at multi-TeV scales.

Contribution

It introduces a warped extra dimension framework with a bulk scalar as the resonance, providing detailed calculations of decay rates, production cross sections, and hierarchical couplings relevant to the diphoton excess.

Findings

The $S o Z ext{ } ext{and} ext{ } ext{photon}$ decay ratio is less than 0.1.

Kaluza-Klein masses are in the multi-TeV range, consistent with experimental bounds.

Exact calculations of production cross sections and decay rates at NNLO and N$^3$LO.

Abstract

We argue that extensions of the Standard Model (SM) with a warped extra dimension, which successfully address the hierarchy and flavor problems of elementary particle physics, can provide an elegant explanation of the 750 GeV diphoton excess recently reported by ATLAS and CMS. A gauge-singlet bulk scalar with ${\cal O}(1)$ couplings to fermions is identified as the new resonance $S$, and the vector-like Kaluza-Klein excitations of the SM quarks and leptons mediate its loop-induced couplings to photons and gluons. The electroweak gauge symmetry almost unambiguously dictates the bulk matter content and hence the hierarchies of the $S\to \gamma\gamma$, $WW$, $ZZ$, $Z\gamma$, $t\bar t$ and dijet decay rates. We find that the $S\to Z\gamma$ decay mode is strongly suppressed, such that $\mbox{Br}(S\to Z\gamma)/\mbox{Br}(S\to\gamma\gamma)<0.1$. The hierarchy problem for the new scalar boson is solved in analogy with the Higgs boson by localizing it near the infrared brane. The infinite sums over the Kaluza-Klein towers of fermion states are finite and can be calculated in closed form with a remarkably simple result. Reproducing the observed $pp\to S\to\gamma\gamma$ signal requires Kaluza-Klein masses in the multi-TeV range, consistent with bounds from flavor physics and electroweak precision observables. Useful side products of our analysis, which can be adapted to almost any model for the diphoton resonance, are the calculation of the gluon-fusion production cross section $\sigma(pp\to S)$ at NNLO in QCD, an exact expression for the inclusive $S\to gg$ decay rate at N$^3$LO, a study of the $S\to t\bar t h$ three-body decay and a phenomenological analysis of portal couplings connecting $S$ with the Higgs field.