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arXiv · 1412.2769

Softened Gravity and the Extension of the Standard Model up to Infinite Energy

Gian F. Giudice·Gino Isidori·Alberto Salvio·Alessandro Strumia
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Abstract

Attempts to solve naturalness by having the weak scale as the only breaking of classical scale invariance have to deal with two severe difficulties: gravity and the absence of Landau poles. We show that solutions to the first problem require premature modifications of gravity at scales no larger than $10^{11}$ GeV, while the second problem calls for many new particles at the weak scale. To build models that fulfil these properties, we classify 4-dimensional Quantum Field Theories that satisfy Total Asymptotic Freedom (TAF): the theory holds up to infinite energy, where all coupling constants flow to zero. We develop a technique to identify such theories and determine their low-energy predictions. Since the Standard Model turns out to be asymptotically free only under the unphysical conditions $g_1 = 0$, $M_t = 186$ GeV, $M_τ= 0$, $M_h = 163$ GeV, we explore some of its weak-scale extensions that satisfy the requirements for TAF.

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Gian F. Giudice, Gino Isidori, Alberto Salvio, Alessandro Strumia. 2015-03-25. Softened Gravity and the Extension of the Standard Model up to Infinite Energy. https://doi.org/10.1007/jhep02(2015)137

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