Three-loop mixed QCD-electroweak corrections to Higgs boson gluon fusion

We compute the contribution of three-loop mixed QCD-electroweak corrections ($\alpha_S^2\alpha^2$) to the $gg \to H$ scattering amplitude. We employ the method of differential equations to compute the relevant integrals and express them in terms of Goncharov polylogarithms.Comment: 21 pages, associated ancillary files distributed with the paper or available from external repository. Correct typos and reference

Next-to-leading order mixed QCD-electroweak corrections to Higgs boson production in gluon fusion

In this thesis next-to-leading order mixed QCD-electroweak corrections to the Higgs boson gluon-fusion cross section are evaluated. Leading order and virtual next-to-leading order amplitudes are expressed in terms of two- and three-loop master integrals. These integrals are evaluated using differential equations augmented by the choice of a basis of uniformly transcendental functions. The integration constants are fixed in a systematic way by numerically matching the solutions to their large-mass expansion. The analytic results for the master integrals are expressed in terms of uniformly transcendental combinations of Goncharov polylogarithms. The real emission contributions are implemented using the soft-gluon approximation. The evaluation of the cross section shows that the ratio between QCD and mixed QCD-electroweak contributions to the cross section remains nearly unchanged from leading order to next-to-leading order. This result removes one of the important uncertainties if the Higgs boson gluon fusion cross section

Mixed QCD-electroweak corrections to Higgs plus jet production at the LHC

The detailed study of the Higgs boson is one of the main tasks of contemporary particle physics. Gluon fusion, the main production channel of Higgs bosons at the LHC, has been successfully modelled in QCD up to $\text{N}^3\text{LO}$. To fully exploit this unprecedented theoretical effort, sub-leading contributions, such as electroweak corrections, must be investigated. I will present the analytic calculations of the gluon- and quark-induced Higgs plus jet amplitudes in mixed QCD-electroweak corrections mediated by light quarks up to order $v \alpha^2 \alpha_S^{3/2}$.Comment: Contribution to the proceedings of the Loops & Legs in Quantum Field Theory 2022 conferenc

The Gini Test for Survival Data in Presence of Small and Unbalanced Groups

The aim of this note is to study the performance of the Gini concentration test for survival data in presence of unbalanced and small samples. We compared the performance of the asymptotic test with an alternative permutation distribution test, illustrating by simulation that if groups are very small the latter test should be used. Also, we show how the definition of the length of time considered in the construction of the test statistic can be chosen to improve the performance of the test

A proposal for a two-step sampling design to oversample units responding to prescribed characteristics

We introduce a novel method to extract a sample from a finite population where units with desired characteristics are over-represented. The approach is both sequential and adaptive and allows, via suitable compositions of predictive and objective functions, to target specific subsets of the population. We consider the problem of estimation and conjecture the validity of a modified Horvitz–Thompson estimator capable to account for the imbalance induced by the targeting procedure. After discussing how to apply the method to the sampling of geographically distributed units, we investigate its potential via simulations.Online publication date: 19 Jan 201

a survival analysis of the last great european plagues the case of nonantola northern italy in 1630

This paper develops the first survival analysis of a large-scale mortality crisis caused by plague. For the time-to-event analyses we used the Cox proportional hazards regression model. Our case study is the town of Nonantola during the 1630 plague, which was probably the worst to affect Italy since the Black Death. Individual risk of death did not depend on sex, grew with age (peaking at ages 40–60 and then declining), was not affected by socio-economic status, and was positively associated with household size. We discuss these findings in light of the historical–demographic and palaeo-demographic literature on medieval and early modern plagues. Our results are compatible with the debated idea that ancient plague was able to spread directly from human to human. Our methods could be replicated in other studies of European plagues to nuance and integrate the findings of recent palaeo-biological and palaeo-demographic research on plague

Thermoelectric energy recovery at ionic-liquid/electrode interface

A Thermally Chargeable Capacitor containing a binary solution of 1-ethyl-3-methylimidazolium bis(trifluoromethylsulfonyl)-imide (EMIMTFSI) in acetonitrile is electrically charged by applying a tempera- ture gradient to two ideally polarisable electrodes. The corresponding thermoelectric coefficient is -1.7 mV/K for platinum foil electrodes and -0.3 mV/K for nanoporous carbon electrodes. Stored electrical energy is extracted by discharging the capacitor through a resistor. The measured capacitance of the electrode/ionic- liquid interface is 5 micro $\mu$F for each platinum electrode while it becomes four orders of magnitude larger $\approx 36$ mF for a single nanoporous carbon electrode. Reproducibility of the effect through repeated charging-discharging cycles under a steady-state temperature gradient demonstrates the robustness of the electrical charging pro- cess at the liquid/electrode interface. The acceleration of the charging by convective flows is also observed. This offers the possibility to convert waste-heat into electric energy without exchanging electrons between ions and electrodes, in contrast to what occurs in most thermogalvanic cells.Comment: 8 pages, 11 figure