Positivity bounds in the Standard Model effective field theory beyond tree level

Chala, Mikael; Santiago, Jose

doi:10.48550/arxiv.2110.01624

Cited by 8 publications

(10 citation statements)

References 29 publications

(42 reference statements)

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“…This provides another motivation to study dim-8 operators, despite the fact that they are subleading compared to the dim-6 operators, as a way to reverse-engineer UV models from the EFT interpretation of the data. Other applications of positivity bounds in the SMEFT can be found in [37][38][39][40][41][42][43]. Finally, we note that positivity bounds have also been widely used to constrain the EFT parameter spaces in other areas of particle physics and cosmology, leading to various interesting results (e.g., ).…”

Section: Introductionmentioning

confidence: 82%

Moments for positivity: using Drell-Yan data to test positivity bounds and reverse-engineer new physics

Li¹,

Mimasu²,

Yamashita³

et al. 2022

Preprint

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Moments of the leptonic angular distribution in the Drell-Yan process have recently been shown to be sensitive probes of a specific class of dimension-8, four-fermion operators in the Standard Model Effective Field Theory, involving a pair of quarks and leptons. The same operators are also subject to positivity bounds, when requiring the associated (unknown) UV completion to obey basic principles of quantum field theory. We perform a phenomenological study to quantify the sensitivity of the high-luminosity LHC to this set of operators and, by extension, the positivity bounds. We further extend the angular basis of moments and consider double differential information to improve the ability to disentangle the different operators, leading to a sensitivity to new physics scales up to 3 TeV. We use this information to explore the violation of positivity at the LHC as a way to test the underlying principles of quantum field theory. Finally, we present a case study which combines our results with information from other (current and prospective) experiments, as well as the positivity cone to infer the properties of possible tree-level UV completions. The data lead to robust, model-independent lower bounds on the M/ √ g combination of the particle mass and coupling, for states that couple to right-handed leptons and/or up quarks.

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Section: Introductionmentioning

confidence: 82%

Moments for positivity: using Drell-Yan data to test positivity bounds and reverse-engineer new physics

Li¹,

Mimasu²,

Yamashita³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Assuming a minimal flavor violation structure, this direction is further explored by [147]. Positivity bounds on the SMEFT four-Higgs operators have been evaluated to one loop level [148], in which case it would be more appropriate to formulate the positivity bounds in terms of physical observables involving the amplitudes rather than directly in terms of the Wilson coefficients. Reversing the argument, positivity bounds on the SMEFT can also be used to test the fundamental principles of the S-matrix theory in future electron-positron colliders [144], with a particularly clear channel identified in [149], (see [150] for an earlier work in the context of electroweak chiral Lagrangian).…”

Section: Applications To Smeftmentioning

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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“…in the presence of branch cuts). It has been shown [55] though, that these bounds are in general not scaleinvariant. In other words, even if they hold at some scale µ = Λ, they can be broken by the RGEs at scales µ Λ.…”

Section: Renormalization Group Running and Implications For Positivitymentioning

confidence: 99%

Theoretical developments in the SMEFT at dimension-8 and beyond

Alioli¹,

Boughezal²,

Cao³

et al. 2022

Preprint

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In this contribution to the Snowmass 2021 process we review theoretical developments in the Standard Model Effective Field Theory (SMEFT) with a focus on effects at the dimension-8 level and beyond. We review the theoretical advances that led to the complete construction of the operator bases for the dimension-8 and dimension-9 SMEFT Lagrangians. We discuss the possibility of obtaining all-orders results in the 1/Λ expansion for certain SMEFT observables as well as the current status of renormalization group running and implications for positivity, and briefly present the on-shell approach to constructing SMEFT amplitudes. Finally we present several new phenomenological effects that first arise at dimension-8 and discuss the impact of these terms on experimental analyses.

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Positivity bounds in the Standard Model effective field theory beyond tree level

Cited by 8 publications

References 29 publications

Moments for positivity: using Drell-Yan data to test positivity bounds and reverse-engineer new physics

Moments for positivity: using Drell-Yan data to test positivity bounds and reverse-engineer new physics

Snowmass White Paper: UV Constraints on IR Physics

Theoretical developments in the SMEFT at dimension-8 and beyond

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