arXiv subjects

Adam Martin

Publications and source records attributed to Adam Martin.

At least 37 records · Page 2Linked to original sources

arXiv2023

Constructing Operator Basis in Supersymmetry: A Hilbert Series Approach

In this paper we introduce a Hilbert series approach to build the operator basis for a N = 1 supersymmetry theory with chiral superfields. We give explicitly the form of the corrections that remove redundancies due to the equations of motion and integration by parts. In addition, we derive the maps between the correction spaces. This technique allows us to calculate the number of independent operators involving chiral and antichiral superfields to arbitrarily high mass dimension. Using this method, we give several illustrative examples.

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arXiv2023

Probing Cosmological Particle Production and Pairwise Hotspots with Deep Neural Networks

Particles with masses much larger than the inflationary Hubble scale, $H_I$, can be pair-produced non-adiabatically during inflation. Due to their large masses, the produced particles modify the curvature perturbation around their locations. These localized perturbations eventually give rise to localized signatures on the Cosmic Microwave Background (CMB), in particular, pairwise hotspots (PHS). In this work, we show that Convolutional Neural Networks (CNN) provide a powerful tool for identifying PHS on the CMB. While for a given hotspot profile a traditional Matched Filter Analysis is known to be optimal, a Neural Network learns to effectively detect the large variety of shapes that can arise in realistic models of particle production. Considering an idealized situation where the dominant background to the PHS signal comes from the standard CMB fluctuations, we show that a CNN can isolate the PHS with $\mathcal{O}(10)\%$ efficiency even if the hotspot temperature is $\mathcal{O}(10)$ times smaller than the average CMB fluctuations. Overall, the CNN search is sensitive to heavy particle masses $M_0/H_I=\mathcal{O}(200)$, and constitutes one of the unique probes of very high energy particle physics.

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arXiv2022

Theory Techniques for Precision Physics -- Snowmass 2021 TF06 Topical Group Report

The wealth of experimental data collected at laboratory experiments suggests that there is some scale separation between the Standard Model (SM) and phenomena beyond the SM (BSM). New phenomena can manifest itself as small corrections to SM predictions, or as signals in processes where the SM predictions vanish or are exceedingly small. This makes precise calculations of the SM expectations essential, in order to maximize the sensitivity of current and forthcoming experiments to BSM physics. This topical group report highlights some past and forthcoming theory developments critical for maximizing the sensitivity of the experimental program to understanding Nature at the shortest distances.

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arXiv2022

Monolepton production in SMEFT to $\mathcal O(1/Λ^4)$ and beyond

We calculate $pp \to \ell^{+}ν, \ell^-\bar ν$ to ${\cal{O}}(1/Λ^4)$ within the Standard Model Effective Field Theory (SMEFT) framework. In particular, we calculate the four-fermion contribution from dimension six and eight operators, which dominates at large center of mass energy. We explore the relative size of the $\mathcal O(1/Λ^4)$ and $\mathcal O(1/Λ^2)$ results for various kinematic regimes and assumptions about the Wilson coefficients. Results for Drell-Yan production $pp \to \ell^+\ell^-$ at ${\cal{O}}(1/Λ^4)$ are also provided. Additionally, we develop the form for four fermion contact term contributions to $pp \to \ell^{+}ν, \ell^-\bar ν, pp \to \ell^+\ell^-$ of arbitrary mass dimension. This allows us to estimate the effects from even higher dimensional (dimension $> 8$) terms in the SMEFT framework.

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arXiv2022

Effective Field Theory of St\"uckelberg Vector Bosons

We explore the effective field theory of a vector field $X^\mu$ that has a St\"uckelberg mass. The absence of a gauge symmetry for $X^\mu$ implies Lorentz-invariant operators are constructed directly from $X^\mu$. Beyond the kinetic and mass terms, allowed interactions at the renormalizable level include $X_\mu X^\mu H^\dagger H$, $(X_\mu X^\mu)^2$, and $X_\mu j^\mu$, where $j^\mu$ is a global current of the SM or of a hidden sector. We show that all of these interactions lead to scattering amplitudes that grow with powers of $\sqrt{s}/m_X$, except for the case of $X_\mu j^\mu$ where $j^\mu$ is a \emph{nonanomalous} global current. The latter is well-known when $X$ is a dark photon coupled to the electromagnetic current, often written as kinetic mixing with the photon. Power counting for the energy growth of the scattering amplitudes is facilitated by isolating the longitudinal enhancement. We examine in detail the interaction with an \emph{anomalous} global vector current $X_\mu j_{\rm anom}^\mu$, carefully isolating the finite contribution to the fermion triangle diagram. We calculate the longitudinally-enhanced observables $Z \rightarrow X\gamma$ (when $m_X < m_Z$), $f\bar{f} \rightarrow X \gamma$, and $Z\gamma \to Z\gamma$ when $X$ couples to the baryon number current. Introducing a ``fake'' gauge-invariance by writing $X^\mu = A^\mu - \partial^\mu \pi/m_X$, the would-be gauge anomaly associated with $A_\mu j_{\rm anom}^\mu$ is canceled by $j_{\rm anom}^\mu \partial_\mu \pi /m_X$; this is the four-dimensional Green--Schwarz anomaly-cancellation mechanism at work. Our analysis demonstrates a larger set of interactions that an EFT with a St\"uckelberg vector field can have, revealing scattering amplitudes that grow with energy. This growth can be tamed by a dark Higgs sector, but this requires additional Higgs interactions that can be separated from $X$ only in the limit $g \ll 1$.

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arXiv2022

Theoretical developments in the SMEFT at dimension-8 and beyond

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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arXiv2022

Matching in $pp \to t \bar{t} W/Z/h +$ jet SMEFT studies

In this paper, we explore the impact of extra radiation on predictions of $pp \to t\bar{t}X, X = h/W^{\pm}/Z$ processes within the dimension-6 SMEFT framework. While full next-to-leading order calculations are of course preferred, they are not always practical, and so it is useful to be able to capture the impacts of extra radiation using leading-order matrix elements matched to the parton shower. While a matched leading-order calculation for $t\bar{t}X$ is not expected to reproduce the next-to-leading order inclusive cross section precisely, we show that it does capture the relative impact of the EFT effects by considering the ratio of matched SMEFT inclusive cross sections to Standard Model values, $σ_{\rm SMEFT}(t\bar{t}Xj)/σ_{\rm SM}(t\bar{t}Xj) \equiv μ$. Furthermore, we compare leading order calculations with and without extra radiation and find several cases, such as the effect of the operator $(φ^{\dagger}i\!\overleftrightarrow{D}_{\!μ}φ) (\bar{t}γ^μt)$ on $t\bar{t}h$ and $t\bar{t}W$, for which the relative cross section prediction increases by more than $10\%$ -- significantly larger than the uncertainty derived by varying the input scales in the calculation, including the additional scales required for matching. Being leading order at heart, matching has the benefit that it can be applied to all operators and processes relevant to $pp \to t\bar{t}X, X = h/W^{\pm}/Z +$ jet, is computationally fast and not susceptible to negative weights. Therefore, it is a useful approach in $t\bar{t}X+$ jet studies where complete next-to-leading order results are currently unavailable or unwieldy.

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arXiv2021

Consistent higher order $σ(\mathcal{G} \,\mathcal{G}\rightarrow h)$, $Γ(h \rightarrow \mathcal{G} \,\mathcal{G})$ and $Γ(h \rightarrow γγ)$ in geoSMEFT

We report consistent results for $Γ(h \rightarrow γγ)$, $σ(\mathcal{G} \,\mathcal{G}\rightarrow h)$ and $Γ(h \rightarrow \mathcal{G} \,\mathcal{G})$ in the Standard Model Effective Field Theory (SMEFT) perturbing the SM by corrections $\mathcal{O}(\bar{v}_T^2/16 π^2 Λ^2)$ in the Background Field Method (BFM) approach to gauge fixing, and to $\mathcal{O}(\bar{v}_T^4/Λ^4)$ using the geometric formulation of the SMEFT. We combine and modify recent results in the literature into a complete set of consistent results, uniforming conventions, and simultaneously complete the one loop results for these processes in the BFM. We emphasise calculational scheme dependence present across these processes, and how the operator and loop expansions are not independent beyond leading order. We illustrate several cross checks of consistency in the results.

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arXiv2021

The $ggh$ variations

We examine how sub-leading results in the operator and loop expansion for $σ(\mathcal{G} \mathcal{G} \rightarrow h)$ in the Standard Model Effective Field Theory (SMEFT) inform theoretical error estimates when studying this production channel in global SMEFT studies. We also discuss the relationship between geometric SMEFT results and the $κ$ formalism.

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arXiv2021

Cosmological Particle Production and Pairwise Hotspots on the CMB

Heavy particles with masses much bigger than the inflationary Hubble scale $H_*$, can get non-adiabatically pair produced during inflation through their couplings to the inflaton. If such couplings give rise to time-dependent masses for the heavy particles, then following their production, the heavy particles modify the curvature perturbation around their locations in a time-dependent and scale non-invariant manner. This results into a non-trivial spatial profile of the curvature perturbation that is preserved on superhorizon scales and eventually generates localized hot or cold spots on the CMB. We explore this phenomenon by studying the inflationary production of heavy scalars and derive the final temperature profile of the spots on the CMB by taking into account the subhorizon evolution, focusing in particular on the parameter space where pairwise hot spots (PHS) arise. When the heavy scalar has an $\mathcal{O}(1)$ coupling to the inflaton, we show that for an idealized situation where the dominant background to the PHS signal comes from the standard CMB fluctuations themselves, a simple position space search based on applying a temperature cut, can be sensitive to heavy particle masses $M_0/H_*\sim\mathcal{O}(100)$. The corresponding PHS signal also modifies the CMB power spectra and bispectra, although the corrections are below (outside) the sensitivity of current measurements (searches).

hep-ph↗

arXiv2021

EWPD in the SMEFT to dimension eight

We calculate the $\mathcal{O}(\langle H^{\dagger} H \rangle^{2} / Λ^{4} )$ corrections to LEP electroweak precision data using the geometric formulation of the Standard Model Effective Field Theory (SMEFT). We report our results in simple-to-use interpolation tables that allow the interpretation of this data set to dimension eight for the first time. We demonstrate the impact of these previously unknown terms in the case of a general analysis in the SMEFT, and also in the cases of two distinct models matched to dimension eight. Neglecting such dimension-eight corrections to LEP observables introduces a theoretical error in SMEFT studies. We report some preliminary studies defining such a theory error, explicitly demonstrating the effect of previously unknown dimension-eight SMEFT corrections on LEP observables.

hep-ph↗

arXiv2021

A $W^\pm$ polarization analyzer from Deep Neural Networks

In this paper, we train a Convolutional Neural Network to classify longitudinally and transversely polarized hadronic $W^\pm$ using the images of boosted $W^{\pm}$ jets as input. The images capture angular and energy information from the jet constituents that is faithful to properties of the original quark/anti-quark $W^{\pm}$ decay products without the need for invasive substructure cuts. We find that the difference between the polarizations is too subtle for the network to be used as an event-by-event tagger. However, given an ensemble of $W^{\pm}$ events with unknown polarization, the average network output from that ensemble can be used to extract the longitudinal fraction $f_L$. We test the network on Standard Model $pp \to W^{\pm}Z$ events and on $pp \to W^{\pm}Z$ in the presence of dimension-6 operators that perturb the polarization composition.

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arXiv2020

Custodial Symmetry (Violation) in SMEFT

We investigate precision observables sensitive to custodial symmetric/violating UV physics beyond the Standard Model. We use the SMEFT framework which in general includes non-oblique corrections that requires a generalization of the Peskin-Takeuchi $T$ parameter to unambiguously detect custodial symmetry/violation. We take a first step towards constructing a SMEFT reparameterization-invariant replacement, that we call $\mathscr{T}$, valid at least for tree-level custodial violating contributions. We utilize a new custodial basis of $ν$SMEFT (SMEFT augmented by right-handed neutrinos) which explicitly identifies the global $SU(2)_R$ symmetries of the Higgs and fermion sectors, that in turn permits easy identification of higher-dimensional operators that are custodial preserving or violating. We carefully consider equation-of-motion redundancies that cause custodial symmetric operators in one basis to be equivalent to a set of custodial symmetric and/or violating operators in another basis. Utilizing known results about tree/loop operator generation, we demonstrate that the basis-dependent appearance of custodial-violating operators does not invalidate our $\mathscr{T}$ parameter at tree-level. We illustrate our results with several UV theory examples, demonstrating that $\mathscr{T}$ faithfully identifies custodial symmetry violation, while $T$ can fail.

hep-ph↗

arXiv2020

Exact SMEFT formulation and expansion to $\mathcal{O}(v^4/Λ^4)$

The Standard Model Effective Field Theory (SMEFT) theoretical framework is increasingly used to interpret particle physics measurements and constrain physics beyond the Standard Model. We investigate the truncation of the effective-operator expansion using the geometric formulation of the SMEFT, which allows exact solutions, up to mass-dimension eight. Using this construction, we compare the exact solution to the expansion at ${\mathcal{O}}(v^2/Λ^2)$, partial ${\mathcal{O}}(v^4/Λ^4)$ using a subset of terms with dimension-6 operators, and full ${\mathcal{O}}(v^4/Λ^4)$, where $v$ is the vacuum expectation value and $Λ$ is the scale of new physics. This comparison is performed for general values of the coefficients, and for the specific model of a heavy U(1) gauge field kinetically mixed with the Standard Model. We additionally determine the input-parameter scheme dependence at all orders in $v/Λ$, and show that this dependence increases at higher orders in $v/Λ$.

hep-ph↗

arXiv2020

Multiscatter stellar capture of dark matter

Dark matter may be discovered through its capture in stars and subsequent annihilation. It is usually assumed that dark matter is captured after a single scattering event in the star, however this assumption breaks down for heavy dark matter, which requires multiple collisions with the star to lose enough kinetic energy to become captured. We analytically compute how multiple scatters alter the capture rate of dark matter and identify the parameter space where the affect is largest. Using these results, we then show how multiscatter capture of dark matter on compact stars can be used to probe heavy ($m_X >$ TeV) dark matter with remarkably small dark matter-nucleon scattering cross-sections. As one example, it is demonstrated how measuring the temperature of old neutron stars in the Milky Way's center provides sensitivity to high mass dark matter with dark matter-nucleon scattering cross-sections smaller than the xenon direct detection neutrino floor.

hep-ph↗

arXiv2020

The Geometric Standard Model Effective Field Theory

We develop the geometric formulation of the Standard Model Effective Field Theory (SMEFT). Using this approach we derive all-orders results in the $\sqrt{2 \langle H^\dagger H \rangle}/Λ$ expansion relevant for studies of electroweak precision and Higgs data.

hep-ph↗

arXiv2019

The Radiation Valley and Exotic Resonances in $Wγ$ Production at the LHC

The tree-level partonic angular distribution of Standard Model $Wγ$ production possesses a feature known as the Radiation Amplitude Zero (RAZ) where destructive interference causes the cross section to vanish. At the proton level the exact cancellation disappears, however, one can find a dip in the central region of the angular distributions, here called the Radiation Valley (RV). In this paper, we show how the sensitivity for $W(\ellν)γ$ resonances can be significantly improved if one focuses on events in the RV region. Using this technique, we find that the LHC could probe a larger range of resonance masses, equivalent to increasing the luminosity by a factor of $2-3$ over conventional searches. The exact increase depends on the spin of the $Wγ$ resonance and exactly how it couples to electroweak gauge bosons.

hep-ph↗

arXiv2019

Reinterpreting $pp \to W^+W^-$ searches for charginos

The hallmark way to search for electroweakinos in natural supersymmetry at the LHC involves the trilepton plus missing energy final state. This approach assumes an electroweakino mass hierarchy that allows for cascade decays leading to a final state of $W^{\pm}Z^0$ plus missing energy. There are, however, situations when that decay pattern may not exist, such as when a chargino is the lightest electroweakino and the lightest supersymmetric particle is the gravitino. In regions of the parameter space where this ordering occurs, the production of any combination of neutralino/chargino leads to a $W^+W^- + X$ plus missing energy final state, where $X$ could be additional jets or leptons. If $X$ is soft, then all neutralino/chargino production modes fall into the same experimental final state, dileptons plus missing energy. ATLAS and CMS have leptonic $W^+W^-$ plus missing energy searches, but their interpretation assumes a spectrum consisting of an isolated charged state. In this paper, we identify the circumstances under which natural supersymmetry models can avoid $W^{\pm}Z^0$ plus missing energy bounds. For scenarios that escape $W^{\pm}Z^0$ plus missing energy, we then recast the latest ATLAS $W^+W^-$ plus missing energy search, taking into account all the states that contribute to the same signal. Assuming the lightest supersymmetric particle is massless, we find a bound of 460 GeV for a higgsino-like degenerate doublet. Finally, we extend our arguments to a non-supersymmetric simplified model containing new electroweak-scale $SU(2)_w$ doublets and singlets.

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