Abstract
We discuss phenomenological consequences of the recently-introduced refinements of the de Sitter swampland conjecture. The conjecture constraints the first and the second derivatives of the scalar potential in terms of two $O(1)$ constants $c$ and $c'$, leading to interesting constraints on particle phenomenology, especially inflationary model building. Our work can also be regarded as bottom-up constraints on the values of $c$ and $c'$.
Highlights
It has been a fascinating question if theories of quantum gravity give rise to any novel low-energy constraints beyond those discussed in the framework of the low-energy effective quantum field theory
Contrary to the original de Sitter swampland conjecture, the refinement has no constraints on spontaneous breaking scenarios, such as the Higgs, the chiral symmetry breaking, and the QCD axion
We point out that this constraint can be evaded for example by curvaton scenarios, which typically leads to detectable non-Gaussianities
Summary
It has been a fascinating question if theories of quantum gravity give rise to any novel low-energy constraints beyond those discussed in the framework of the low-energy effective quantum field theory. One of the most recent among such swampland conjectures is the striking conjecture (the so-called de Sitter conjecture) by Obied et al [2] (see [3,4,5,6,7] for related discussion) This conjecture states that the scalar potential V in a low-energy effective theory admitting a consistent UV completion with gravity should satisfy the constraint. Several authors examined the bottom-up consequences of the conjecture, in the context of the Higgs field [16,29,32,51] and the QCD axion [29] (see [23]) While these constraints do not necessarily exclude the de Sitter conjecture (1), some exotic scenarios seem to be inevitable, and one might be tempted to conclude that such scenarios are unlikely. We illustrate our results by several concrete inflationary models
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