Francesco Coradeschi

A naturally light dilaton

A bstractGoldstone’s theorem does not apply straightforwardly to the case of spontaneously broken scale invariance. We elucidate under what conditions a light scalar degree of freedom, identifiable with the dilaton, can naturally arise. Our construction can be considered an explicit dynamical solution to the cosmological constant problem in the scalar version of gravity.

Unified limiting form of graviton radiation at extreme energies

We derive the limiting form of graviton radiation in gravitational scattering at transplanckian energies (E ≫ MP) and small deflection angles. We show that — owing to the graviton’s spin 2 — such limiting form unifies the soft- and Reggeregimes of emission, by covering a broad angular range, from forward fragmentation to deeply central region. The single-exchange emission amplitudes have a nice expression in terms of the transformation phases of helicity amplitudes under rotations. As a result, the multiple-exchange emission amplitudes can be resummed via an impact parameter b-space factorization theorem that takes into account all coherence effects. We then see the emergence of an energy spectrum of the emitted radiation which, being tuned on ~/R ∼ M 2 P /E ≪ MP, is reminiscent of Hawking’s radiation. Such a spectrum is much softer than the one na¨ovely expected for increasing input energies and neatly solves a potential energy crisis. Furthermore, by including rescattering corrections in the (quantum) factorization formula, we are able to recover the classical limit and to find the corresponding quantum corrections. Perspectives for the extrapolation of such limiting radiation towards the classical collapse regime (where b is of the order of the gravitational radius R) are also discussed.

Diphoton production at hadron colliders: transverse-momentum resummation at next-to-next-to-leading logarithmic accuracy

A bstractWe consider the transverse-momentum (qT) distribution of a diphoton pair produced in hadron collisions. At small values of qT, we resum the logarithmically-enhanced perturbative QCD contributions up to next-to-next-to-leading logarithmic accuracy. At intermediate and large values of qT, we consistently combine resummation with the known next-to-leading order perturbative result. All perturbative terms up to order αS2 are included in our computation which, after integration over qT, reproduces the known next- to-next-to-leading order result for the diphoton pair production total cross section. We present a comparison with LHC data and an estimate of the perturbative accuracy of the theoretical calculation by performing the corresponding variation of scales. In general we observe that the effect of the resummation is not only to recover the predictivity of the calculation at small transverse momentum, but also to improve substantially the agreement with the experimental data.

Modified spontaneous symmetry breaking pattern by brane-bulk interaction terms

We show how translational invariance can be broken by the vacuum that drives the spontaneous symmetry breaking of extra-dimensional extensions of the Standard Model, when delta-like interactions between brane and bulk scalar fields are present. We explicitly build some examples of vacuum configurations, which induce the spontaneous symmetry breaking, and have non trivial profile in the extra coordinate.

Interference effects in the H(→γγ)+2 jets channel at the LHC

We compute the interference between the resonant process

Selection rules for helicity amplitudes in massive gauge theories

pp\to H(\rightarrow \gamma\gamma)+2 \text{ jets}

Transverse-momentum resummation for the signal-background interference in the H →γγ channel at the LHC

and the corresponding continuum background at leading order in QCD. For the Higgs signal, we include gluon fusion (GF) and vector boson fusion (VBF) production channels, while for the background we consider all tree-level contributions, including pure EW effects (

Interference effects in the

{\cal O}(\alpha_{QED}^4)

H(\rightarrow \gamma\gamma) + 2

) and QCD contributions (

jets channel at the LHC

{\cal O}(\alpha_{QED}^2 \alpha_{s}^2)