Mapping the SMEFT to discoverable models

Abstract

The matching of specific new physics scenarios onto the SMEFT framework is a well-understood procedure. The inverse problem, the matching of the SMEFT to UV scenarios, is more difficult and requires the development of new methods to perform a systematic exploration of models. In this paper we use a diagrammatic technique to construct in an automated way a complete set of possible UV models (given certain, well specified assumptions) that can produce specific groups of SMEFT operators, and illustrate its use by generating models with no tree-level contributions to four-fermion (4F) operators. Those scenarios, which only contribute to 4F at one-loop order, can contain relatively light particles that could be discovered at the LHC in direct searches. For this class of models, we find an interesting interplay between indirect SMEFT and direct searches. We discuss some examples on how this interplay would look like when combining low-energy observables with the SMEFT Higgs-fermion analyses and searches for resonance at the LHC.

BCS in the sky: signatures of inflationary fermion condensation

“…Such an interaction can originate from the exchange of a heavy scalar particle of mass scale M , or from the s-wave channel of the torsion-induced four-fermion interaction [59,60]. Since the energy scale of inflation is not far below that of Grand Unified Theories (GUT) such as the Pati-Salam model [61][62][63][64][65], one can treat the four-fermion term as EFT operators of a broken GUT group, in a similar way that these operators appear in the SMEFT [66]. For simplicity, we shall first focus on (2.9) and comment on other types of interaction in section 3.3.…”

Tree-level UV completions for NRSMEFT d = 6 and d = 7 operators

“…In this section, we introduce the diagrammatic method used to systematically decompose N R SMEFT operators at tree-level. The same method has been used for studying the Weinberg operator at different loop orders in [42][43][44][45] and for 1-loop openings of SMEFT four-fermion operators in [46,47]. We will therefore be brief in this description.…”

Complete UV resonances of the dimension-8 SMEFT operators

“…However, it is quite difficult to find all the possible UV origins of effective operator without performing an exhaustive search of various possible UV models, which is very time-consuming and error-prone due to JHEP05(2024)238 the large variety of UV models. The work along this direction includes the classification of the tree-level and loop-level generated operators [15][16][17][18][19][20][21][22], the complete tree-level and one-loop dictionary for the dimension-6 operators [23,24], and the dimension-7 operators [25], etc.…”