Natural selection rules: new positivity bounds for massive spinning particles

Davighi, Joe; Melville, Scott; You, Tevong

doi:10.1007/jhep02(2022)167

Cited by 38 publications

(20 citation statements)

References 92 publications

(188 reference statements)

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“…In particular, as noted in [47], bounds from different polarizations impose a finite 'island' of allowed Wilson coefficients. Similar bounds may be derived for lower and higher spins [55][56][57].…”

Section: Unitarity Causality and Analyticity In S-matrixsupporting

confidence: 52%

Snowmass White Paper: UV Constraints on IR Physics

Rham¹,

Kundu²,

Reece³

et al. 2022

Preprint

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Fundamental principles of local quantum field theory or of quantum gravity can enforce consistency requirements on the space of consistent low-energy effective field theories. We survey the various techniques that have been used to put UV constraints on IR physics, including those from causality considerations in the form of S-matrix positivity and bootstrap bounds, scattering time delays, conformal field theory and holographic methods, together with those that arise from landscape/swampland criteria such as the weak gravity conjecture. We review recent applications of these constraints to corrections to Standard Model physics, corrections to Einstein gravity, and cosmological theories and highlight promising future directions.

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Section: Unitarity Causality and Analyticity In S-matrixsupporting

confidence: 52%

Snowmass White Paper: UV Constraints on IR Physics

Rham¹,

Kundu²,

Reece³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…with a small mass [60] or small (∂φ) 4 interaction [52], but this inevitably leads to an unacceptably low cut-off 6 . Another possible resolution is to make weaker assumptions about the nature of the UV completion-for instance, if the UV amplitude exhibits some mild non-locality, then the dispersion relation for ∂ 2 s A need not converge and (2.9) need not apply, and yet higher order positivity bounds may still be used to constrain these couplings [16,93]. Yet another possibility is that gravitational effects modify (2.9), particularly in light of recent results which show that a small negative c ss may not violate causality if balanced by a gravitational time delay [27] (see also [94][95][96][97][98][99]).…”

Section: Positivity Boundsmentioning

confidence: 99%

“…Note that the Galileon 1 In this work we focus on linear positivity bounds for a single scalar field. There has been much progress recently developing similar (and in some cases stronger) bounds for spinning particles [13][14][15][16], non-linear bounds from moment theorems [17][18][19] and exploiting full crossing symmetry [20][21][22][23][24], generalised bounds for EFTs with multiple fields [25,26], and bounds including the effects of gravity [27][28][29][30][31][32].…”

mentioning

confidence: 99%

Positivity bounds from multiple vacua and their cosmological consequences

Melville,

Noller

2022

Preprint

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Positivity bounds-constraints on any low-energy effective field theory imposed by the fundamental axioms of unitarity, causality and locality in the UV-have recently been used to constrain various effective field theories relevant for cosmology. However, to date most of these bounds have assumed that there is a single Lorentz-invariant vacuum in which all fields have zero expectation value and in many cosmologically relevant models this is not the case. We explore ways to overcome this limitation by investigating a simple example model, the covariant Galileon, which possesses a one-parameter family of Lorentz-invariant vacua as well as multiple boost-breaking vacua. Each of these vacua has a corresponding set of positivity bounds, and we show how a particular (beyond-the-forward-limit) bound can be used to map out the parameter space according to which vacua may persist in the UV theory, finding that in general there are regions in which none, one or many of the effective field theory vacua can be consistent with unitarity, causality and locality in the UV. Finally, we discuss the interplay between this map and cosmological observations. We find that the observationally favoured region of parameter space is incompatible with a large class of vacua, and conversely that particular boost-breaking vacua would imply positivity bounds that rule out otherwise observationally favoured cosmologies. We also identify a specific boost-breaking vacuum which is "closest" to the cosmological background, and show that the particular positivity bound we consider reduces the otherwise cosmologically favoured region of Galileon parameter space by up to 70%, ruling out the vast majority of cosmologies with a positive coefficient for the cubic Galileon in the process.

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“…Other applications of positivity bounds in SMEFT can be found in [43][44][45][46][47][48][49][50][51][52][53][54][55][56]. Also, see [57][58][59][60][61][62][63] for a few other generalizations of positivity bounds, and [64][65][66][67] and reference therein for recent progress in S-matrix bootstrap, which overlaps the development of positivity bounds.…”

Section: Introductionmentioning

confidence: 99%

Triple crossing positivity bounds for multi-field theories

Du,

Zhang,

Zhou

2021

Preprint

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We develop a formalism to extract triple crossing symmetric positivity bounds for effective field theories with multiple degrees of freedom, by making use of su symmetric dispersion relations supplemented with positivity of the partial waves, st null constraints and the generalized optical theorem. This generalizes the convex cone approach to constrain the s 2 coefficient space to higher orders. Optimal positive bounds can be extracted by semi-definite programs with a continuous decision variable, compared with linear programs for the case of a single field. As an example, we explicitly compute the positivity constraints on bi-scalar theories, and find all the Wilson coefficients can be constrained in a finite region, including the coefficients with odd powers of s, which are absent in the single scalar case.

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Natural selection rules: new positivity bounds for massive spinning particles

Cited by 38 publications

References 92 publications

Snowmass White Paper: UV Constraints on IR Physics

Snowmass White Paper: UV Constraints on IR Physics

Positivity bounds from multiple vacua and their cosmological consequences

Triple crossing positivity bounds for multi-field theories

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