Abstract
We point out that the hypothesis of an SU(5)-like supersymmetric Grand Unified Theory (GUT) implies a generic relation within the flavour structure of up-type squarks. Contrary to other well-known SU(5) relations between the down-quark and charged lepton sectors, this relation remains exact in the presence of any corrections and extra operators. Moreover it remains valid to a good precision at the electroweak scale, and opens thus new possibilities for testing SU(5)-like GUTs. We derive the low-energy effective theory of observable light up-type squarks, that also constitutes a useful tool for squark phenomenology. We use this effective theory to determine how to test SU(5) relations at the LHC. Focusing on scenarios with light stops, compatible with Natural SUSY, it appears that simple tests involving ratios of event rates are sufficient to test the hypothesis of an SU(5)-like GUT theory. The techniques of charm-tagging and top-polarimetry are a crucial ingredient of these tests.
Highlights
In this Letter we point out the existence of SU (5)like Grand Unified Theory (GUT) relations that have remained unexplored so far
These new SU (5) relations are insensitive to GUT threshold corrections and are confined to the flavour structure of the up-squark sector, which makes them more stable with respect to quantum corrections than the other wellknown SU (5) relations
We focus on searches at the LHC using unprecedented simple tests involving the properties of up-type squarks
Summary
One of the most fascinating features of the Standard Model of Particles (SM) is that the matter fields fit into complete representations 10 and of the SU (5) gauge group, as 10 = (Q, U, E), ̄5 = (L, D) [1] This suggests that the SM is the low-energy effective theory (EFT) of a SU (5)-like Grand Unified Theory (GUT) – either SU (5)symmetric or containing SU (5) as a subgroup (see [2] and the reviews [3]). In this Letter, assuming a SU (5)-like supersymmetric GUT, we point out a so-far unexplored SU (5) property confined to the up-squark sector, that is much less sensitive to model-dependence than previous, well-studied properties This property arises in the flavour structure of up squarks, and its persistence at the weak scale is closely checked. The situation becomes different once one considers broken SUSY, because more degrees of freedom of the Yukawa matrices are probed by the superpartners
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