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Article overview
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UV and IR Effects in Axion Quality Control | | C.P. Burgess
; Gongjun Choi
; F. Quevedo
; | | Date: |
2 Jan 2023 | | Abstract: | Motivated by recent discussions and the absence of exact global symmetries in
UV completions of gravity we re-examine the axion quality problem (and
naturalness issues more generally) using antisymmetric Kalb-Ramond (KR) fields
rather than their pseudoscalar duals, as suggested by string and higher
dimensional theories. Two types of axions can be identified: a model
independent $S$-type axion dual to a two form $B_{mu
u}$ in 4D and a $T$-type
axion coming directly as 4D scalar Kaluza-Klein (KK) components of
higher-dimensional tensor fields. For $T$-type axions our conclusions largely
agree with earlier workers for the axion quality problem, but we also reconcile
why $T$-type axions can couple to matter localized on 3-branes with Planck
suppressed strength even when the axion decay constants are of order the KK
scale. For $S$-type axions, we review the duality between form fields and
massive scalars and show how duality impacts naturalness arguments about the UV
sensitivity of the scalar potential. In particular UV contributions on the KR
side suppress contributions on the scalar side by powers of $m/M$ with $m$ the
axion mass and $M$ the UV scale. We re-examine how the axion quality problem is
formulated on the dual side and compare to recent treatments. We study how
axion quality is affected by the ubiquity of $p$-form gauge potentials (for
both $p=2$ and $p=3$) in string vacua and identify two criteria that can
potentially lead to a problem. We also show why most fields do not satisfy
these criteria, but when they do the existence of multiple fields also provides
mechanisms for resolving it. We conclude that the quality problem is easily
evaded. | | Source: | arXiv, 2301.00549 | | Services: | Forum | Review | PDF | Favorites | |
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