A<sc>bstract</sc> This paper presents a search for top-squark pair production in final states with a top quark, a charm quark and missing transverse momentum. The data were collected with the ATLAS detector during LHC Run 2 and correspond to an integrated luminosity of 139 fb−1of proton-proton collisions at a centre-of-mass energy of$$ \sqrt{s} $$ = 13 TeV. The analysis is motivated by an extended Minimal Supersymmetric Standard Model featuring a non-minimal flavour violation in the second- and third-generation squark sector. The top squark in this model has two possible decay modes, either$$ {\tilde{t}}_1\to c{\overset{\sim }{\chi}}_1^0 $$ or$$ {\tilde{t}}_1\to t{\overset{\sim }{\chi}}_1^0 $$ , where the$$ {\overset{\sim }{\chi}}_1^0 $$ is undetected. The analysis is optimised assuming that both of the decay modes are equally probable, leading to the most likely final state of$$ tc+{E}_T^{\textrm{miss}} $$ . Good agreement is found between the Standard Model expectation and the data in the search regions. Exclusion limits at 95% CL are obtained in the$$ m\left({\tilde{t}}_1\right) $$ vs.$$ m\left({\overset{\sim }{\chi}}_1^0\right) $$ plane and, in addition, limits on the branching ratio of the$$ {\tilde{t}}_1\to t{\overset{\sim }{\chi}}_1^0 $$ decay as a function ofm($$ {\tilde{t}}_1 $$ ) are also produced. Top-squark masses of up to 800 GeV are excluded for scenarios with light neutralinos, and top-squark masses up to 600 GeV are excluded in scenarios where the neutralino and the top squark are almost mass degenerate.
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Modeling basal area yield using simultaneous equation systems incorporating uncertainty estimators
Abstract Over the last three decades, many growth and yield systems developed for the southeast USA have incorporated methods to create a compatible basal area (BA) prediction and projection equation. This technique allows practitioners to calibrate BA models using both measurements at a given arbitrary age, as well as the increment in BA when time series panel data are available. As a result, model parameters for either prediction or projection alternatives are compatible. One caveat of this methodology is that pairs of observations used to project forward have the same weight as observations from a single measurement age, regardless of the projection time interval. To address this problem, we introduce a variance–covariance structure giving different weights to predictions with variable intervals. To test this approach, prediction and projection equations were fitted simultaneously using an ad hoc matrix structure. We tested three different error structures in fitting models with (i) homoscedastic errors described by a single parameter (Method 1); (ii) heteroscedastic errors described with a weighting factor $${w}_t$$ (Method 2); and (iii) errors including both prediction ($$\overset{\smile }{\varepsilon }$$) and projection errors ($$\tilde{\varepsilon}$$) in the weighting factor $${w}_t$$ (Method 3). A rotation-age dataset covering nine sites, each including four blocks with four silvicultural treatments per block, was used for model calibration and validation, including explicit terms for each treatment. Fitting using an error structure which incorporated the combined error term ($$\overset{\smile }{\varepsilon }$$ and $$\tilde{\varepsilon}$$) into the weighting factor $${w}_t$$ (Method 3), generated better results according to the root mean square error with respect to the other two methods evaluated. Also, the system of equations that incorporated silvicultural treatments as dummy variables generated lower root mean square error (RMSE) and Akaike’s index values (AIC) in all methods. Our results show a substantial improvement over the current prediction-projection approach, resulting in consistent estimators for BA.
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- Award ID(s):
- 1916720
- PAR ID:
- 10609420
- Publisher / Repository:
- Oxford Academic
- Date Published:
- Journal Name:
- Forestry: An International Journal of Forest Research
- Volume:
- 97
- Issue:
- 4
- ISSN:
- 0015-752X
- Page Range / eLocation ID:
- 625 to 634
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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