Massive higher spins: effective theory and consistency

Bellazzini, Brando; Riva, Francesco; Serra, Javi; Sgarlata, Francesco

doi:10.1007/jhep10(2019)189

Cited by 54 publications

(61 citation statements)

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“…[35,36]. This requirement of IR consistency has led to a program of bounding couplings in various EFTs of interest, including corrections to general relativity [37][38][39][40], nonlinear electrodynamics [34], massive gravity [41][42][43][44] and higher-spin states [45][46][47][48][49][50][51], certain scalar theories [52][53][54][55][56] including the proof of the four-dimensional a-theorem [57], the electroweak EFT [58,59], and Einstein-Maxwell theory with applications to the Weak Gravity Conjecture [60][61][62][63][64]. The IR consistency program, taking a bottom-up approach to constraining EFTs, has evolved in tandem with the swamp- Figure 1: Schematic depiction of bounds derived in this work.…”

Section: Introductionmentioning

confidence: 99%

Consistency of the standard model effective field theory

Remmen¹,

Rodd²

2019

J. High Energ. Phys.

125

117

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We derive bounds on couplings in the standard model effective field theory (SMEFT) as a consequence of causality and the analytic structure of scattering amplitudes. In the SMEFT, there are 64 independent operators at mass dimension eight that are quartic in bosons (either Higgs or gauge fields) and that contain four derivatives and/or field strengths, including both CP-conserving and CP-violating operators. Using analytic dispersion relation arguments for two-to-two bosonic scattering amplitudes, we derive 27 independent bounds on the sign or magnitude of the couplings. We show that these bounds also follow as a consequence of causality of signal propagation in nonvacuum SM backgrounds. These bounds come in two qualitative forms: i) positivity of (various linear combinations of) couplings of CP-even operators and ii) upper bounds on the magnitude of CP-odd operators in terms of (products of) CP-even couplings. We exhibit various classes of example completions, which all satisfy our EFT bounds. These bounds have consequences for current and future particle physics experiments, as part of the observable parameter space is inconsistent with causality and analyticity. To demonstrate the impact of our bounds, we consider applications both to SMEFT constraints derived at colliders and to limits on the neutron electric dipole moment, highlighting the connection between such searches suggested by infrared consistency.

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Section: Introductionmentioning

confidence: 99%

Consistency of the standard model effective field theory

Remmen¹,

Rodd²

2019

J. High Energ. Phys.

125

117

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“…We have considered k = 0 vector symmetries, but scalar-vector theories with abelian shift symmetries with higher values of k will also arise from the decoupling limits of massive higher-spin theories, as discussed in Ref. [67]. For example, the massive spin-3 scalar-vector decoupling limit interactions of Ref.…”

Section: Discussionmentioning

confidence: 99%

“…[67] have a non-trivial abelian k = 1 vector shift symmetry. This should generalize to arbitrary k using the decoupling limits of massive higher-spins that interact via special potentials that generalize the pseudo-linear interactions [67][68][69]. In Appendix C we write down these scalar-vector interactions explicitly for all even values of k.…”

Section: Discussionmentioning

confidence: 99%

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Shift-symmetric spin-1 theories

Bonifacio

Hinterbichler

Johnson

et al. 2019

J. High Energ. Phys.

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We study interacting massive spin-1 theories in de Sitter (dS) and anti-de Sitter (AdS) space that possess shift symmetries parametrized by (A)dS Killing vectors. We show how they emerge from the massless limit of massive spin-2 theories on (A)dS space. In the case of massive gravity, the corresponding spin-1 theory realizes a symmetry breaking pattern that takes two copies of the (A)dS isometry group down to a diagonal subgroup. By taking the flat space limit of this theory, we find a new symmetry of the decoupling limit of massive gravity in flat space. This symmetry acts on the vector modes, is parametrized by an antisymmetric tensor, and fixes the nonlinear structure of the scalar-vector sector of the decoupling limit.

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“…We note that even though the question at hand-what is the one-loop contribution from massive higher-spin states-is technically well posed, the regime of validity of the perturbative expansion is narrow: the higher-spin action is itself an effective action with a cutoff, and Ref. [35] showed that a single higher-spin particle cannot be parametrically lighter than this cutoff, so that a weak coupling treatment of isolated higher-spin particles is typically not possible.…”

Section: Bsm Perspectivementioning

confidence: 99%

Improved BSM sensitivity in diboson processes at linear colliders

2020

Self Cite

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We study W + W − and Zh final states at future linear e + e − colliders; designing analyses specific to the various final state polarizations allows us to target specific beyond the Standard Model (BSM) effects, parametrized in the form of dimension-6 operators. We find that CLIC can access effects roughly an order of magnitude smaller than HL-LHC or ILC, and two orders of magnitude smaller than LEP. These results are interpreted in the context of well-motivated BSM scenarios-at weak and strong coupling-where we expect correlated effects in Drell-Yann processes. The latter turn out to have better discovery potential, although the diboson processes provide additional discriminating power, potentially furnishing a way to measure the spin and coupling of BSM states. arXiv:1909.01937v1 [hep-ph] 4 Sep 2019 1 MotivationStandard Model (SM) precision tests are at the core of present and future collider programs. While interesting as confirmation of our unprecedented control of SM computations, they serve an exciting additional purpose: a way to search for new structure lurking beyond the SM (BSM). Indeed, heavy dynamics-beyond the direct reach of collidersleave an imprint on lower energy processes, in the form of deformations of SM interactions. These can be described by an Effective Field Theory (EFT), which parametrises the most general deviations from the SM and, at the same time, captures the effects of general, heavy BSM dynamics.The leading such effects, associated with dimension-6 operators in the effective Lagrangian, in general behave schematically as σ ∼ σ SM (1+E 2 /Λ 2 ), with E a characteristic energy scale of the process and Λ the physical scale associated with the EFT operator. This suggests two modes of exploration: i) on a SM resonance-such as the Z-pole studied at LEP1-where σ SM is maximal, statistical uncertainty the smallest, and the experiment becomes sensitive to tiny departures from the SM, or ii) at high-energy, where the BSM effect is larger and less precision is needed to access effects of a given size. In this article we focus on experiments of the latter type; in particular, we study non-resonant 2 → 2 processes, which are the simplest processes, with the largest cross sections, with access to the high-energy regime. Processes with more particles can be interesting to test operators with more legs, such as those that modify Higgs couplings [1].Particularly interesting for the BSM discovery potential they offer are diboson V V and V h (V ( ) = W, Z) final states. Indeed, new dynamics in the Higgs sector-such as Higgs compositeness [2-6]-alter the behaviour of V h processes [7-9] and, according to the equivalence theorem, also enter in processes with longitudinal V V [10][11][12]. BSM in the gauge sector [13,14] instead affects V V processes with transverse polarisations. Finally, light fermion substructure, as implied in models of fermion compositeness [15,16], can modify the initial light quark or lepton current, although this option seems to be disfavoured by tests of flavour and CP violatio...

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Massive higher spins: effective theory and consistency

Cited by 54 publications

References 54 publications

Consistency of the standard model effective field theory

Consistency of the standard model effective field theory

Shift-symmetric spin-1 theories

Improved BSM sensitivity in diboson processes at linear colliders

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