Abstract

We analyse the sensitivity of quark flavour-changing observables to the MSSM, in a regime of heavy superpartners. We analyse four distinct and motivated frameworks characterising the structure of the soft-breaking terms by means of approximate flavour symmetries. We show that a set of six low-energy observables with realistic chances of improvement in the near future, namely Delta M_{s,d}, epsilon _K, epsilon _K'/epsilon _K, mathcal {B} (Krightarrow pi nu {{bar{nu }}}), and the phase of D–{bar{D}} mixing, could play a very important role in characterising these frameworks for superpartner masses up to mathcal {O}(100) TeV. We show that these observables remain very interesting even in a long-term perspective, i.e. even taking into account the direct mass reach of the most ambitious future high-energy colliders.

Highlights

  • The Minimal Supersymmetric extension of the Standard Model (MSSM) is one of the most motivated and attractive ultraviolet completions of the Standard Model (SM)

  • An additional important virtue of high-scale MSSM is a minor tension with flavour-physics observables, or a less severe SUSY flavour problem

  • Enough, the two frameworks behave quite differently: while the Minimal Flavour Violation (MFV) framework is unable to accommodate sizeable effects in any observable, within the U (2) model large deviations from the SM can occur in (M1D2) and | K |. This difference can be understood by the rigidity of the MFV framework, where large off-diagonal entries in the squark mass matrices are necessarily accompanied by an overall increase of squark masses

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Summary

Introduction

The Minimal Supersymmetric extension of the Standard Model (MSSM) is one of the most motivated and attractive ultraviolet completions of the Standard Model (SM). The absence of direct signals of new particles at the LHC have pushed the scale of Supersymmetry (SUSY) breaking in the few TeV regime (or above), making the MSSM a less natural solution to the electroweak hierarchy problem. A residual flavour problem remains and flavour-physics observables may represent the only option to test the MSSM in the near future, if the SUSY breaking scale lies is in the 10– 100 TeV domain. Such high-scale breaking, which is quite motivated given the argument listed above, would prevent direct signals of super-partners at the LHC, even during the forthcoming high-luminosity phase, while indirect signals may still be within the reach of existing facilities. The purpose of this paper is to provide a quantitative estimate, and a detailed comparison, of the sensitivity of selected flavourphysics observables up to O(100) TeV

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