The IR-Side of Positivity Bounds

Bellazzini, Brando; Riembau, Marc; Riva, Francesco

doi:10.48550/arxiv.2112.12561

Cited by 5 publications

(10 citation statements)

References 54 publications

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“…A useful technique introduced in [66] demonstrates how null-constraints can be used to give special combinations of amplitudes (sum-rules) which are finite polynomials in Mandelstam invariants. The effect of IR loops on these type of bounds is discussed in [69].…”

Section: Unitarity Causality and Analyticity In S-matrixmentioning

confidence: 99%

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-matrixmentioning

confidence: 99%

Snowmass White Paper: UV Constraints on IR Physics

Rham¹,

Kundu²,

Reece³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…6 do behave as EFTs. 21 For values lighter than M = 2 the second diagram would induce a pole in the 2 → 2 scattering of the light particle, and thus one needs to modify the dispersion relations (2.22-2.24) accordingly. 22 Note that as long as α > M 2 /2 the point (φ, Φ) = (0, 0) is the global minimum of V .…”

Section: M1: Bounding Arcsmentioning

confidence: 99%

“…Several works have since then exploited positivity, leading to constraints on renormalization group flows and the phenomenology of EFTs [5][6][7][8][9][10][11][12][13][14][15][16][17]. See also [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34] for interesting recent developments.…”

Section: Introductionmentioning

confidence: 99%

Bridging Positivity and S-matrix Bootstrap Bounds

Miro¹,

Guerrieri²,

Gumus³

2022

Preprint

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The main objective of this work is to isolate Effective Field Theory scattering amplitudes in the space of non-perturbative two-to-two amplitudes, using the S-matrix Bootstrap. We do so by introducing the notion of Effective Field Theory cutoff in the S-matrix Bootstrap approach. We introduce a number of novel numerical techniques and improvements both for the primal and the linearized dual approach. We perform a detailed comparison of the full unitarity bounds with those obtained using positivity and linearized unitarity. Moreover, we discuss the notion of Spin-Zero and UV dominance along the boundary of the allowed amplitude space by introducing suitable observables. Finally, we show that this construction also leads to novel bounds on operators of dimension less than or equal to six.

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“…Positivity bounds on scattering amplitudes is one of the interesting approaches to such UV constraints on EFTs. While the bounds were originally formulated in nongravitational theories with a mass gap [5][6][7], their extension to gravity theories has been studied intensively, having application to the swampland program in mind [8][9][10][11][12][13][14][15][16][17]. A finding there is that positivity bounds hold at least approximately even in gravity theories.…”

Section: Introductionmentioning

confidence: 99%

Phenomenological Motivation for Gravitational Positivity Bounds: A Case Study of Dark Sector Physics

Noumi¹,

Sato²,

Tokuda³

2022

Preprint

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Positivity bounds on scattering amplitudes provide a necessary condition for a low-energy effective field theory to have a consistent ultraviolet completion. Their extension to gravity theories has been studied in the past years aiming at application to the swampland program, showing that positivity bounds hold at least approximately even in the presence of gravity. An issue in this context is how much negativity is allowed for a given scattering process. In this paper we address importance of this rather technical issue by demonstrating that it is relevant to physics within the scope of ongoing experiments, especially in the context of dark sector physics. In particular, we provide detailed analysis of dark photon scenarios as an illustrative example. This motivates further studies on gravitational positivity bounds.

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The IR-Side of Positivity Bounds

Cited by 5 publications

References 54 publications

Snowmass White Paper: UV Constraints on IR Physics

Snowmass White Paper: UV Constraints on IR Physics

Bridging Positivity and S-matrix Bootstrap Bounds

Phenomenological Motivation for Gravitational Positivity Bounds: A Case Study of Dark Sector Physics

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