Luminosity determination for the measurement of the proton-proton total cross section at 8 TeV in the Atlas experiment

La sezione d’urto totale adronica gioca un ruolo fondamentale nel programma di fisica di LHC. Un calcolo di questo parametro, fondamentale nell’ambito della teoria delle interazioni forti, non é possibile a causa dell’inapplicabilità dell’approccio perturbativo. Nonostante ciò, la sezione d’urto può essere stimata, o quanto meno le può essere dato un limite, grazie ad un certo numero di relazioni, come ad esempio il Teorema Ottico. In questo contesto, il detector ALFA (An Absolute Luminosity For ATLAS) sfrutta il Teorema Ottico per determinare la sezione d’urto totale misurando il rate di eventi elastici nella direzione forward. Un tale approccio richiede un metodo accurato di misura della luminosità in condizioni sperimentali difficoltose, caratterizzate da valori di luminosità istantanea inferiore fino a 7 ordini di grandezza rispetto alle normali condizioni di LHC. Lo scopo di questa tesi è la determinazione della luminosità integrata di due run ad alto β*, utilizzando diversi algoritmi di tipo Event-Counting dei detector BCM e LUCID. Particolare attenzione è stata riservata alla sottrazione del fondo e allo studio delle in- certezze sistematiche. I valori di luminosità integrata ottenuti sono L = 498.55 ± 0.31 (stat) ± 16.23 (sys) μb^(-1) and L = 21.93 ± 0.07 (stat) ± 0.79 (sys) μb^(-1), rispettivamente per i due run. Tali saranno forniti alla comunità di fisica che si occupa della misura delle sezioni d’urto protone-protone, elastica e totale. Nel Run II di LHC, la sezione d’urto totale protone-protone sarà stimata con un’energia nel centro di massa di 13 TeV per capire meglio la sua dipendenza dall’energia in un simile regime. Gli strumenti utilizzati e l’esperienza acquisita in questa tesi saranno fondamentali per questo scopo.

Measurement of CP asymmetries in $\lambda^0_b \to pk^-$ and $\lambda^0_b \to p \pi^-$ decays at LHCb

The LHCb experiment has been designed to perform precision measurements in the flavour physics sector at the Large Hadron Collider (LHC) located at CERN. After the recent observation of CP violation in the decay of the Bs0 meson to a charged pion-kaon pair at LHCb, it is interesting to see whether the same quark-level transition in Λ0b baryon decays gives rise to large CP-violating effects. Such decay processes involve both tree and penguin Feynman diagrams and could be sensitive probes for physics beyond the Standard Model. The measurement of the CP-violating observable defined as ∆ACP = ACP(Λ0b → pK−)−ACP(Λ0b →pπ−),where ACP(Λ0b →pK−) and ACP(Λ0b →pπ−) are the direct CP asymmetries in Λ0b → pK− and Λ0b → pπ− decays, is presented for the first time using LHCb data. The procedure followed to optimize the event selection, to calibrate particle identification, to parametrise the various components of the invariant mass spectra, and to compute corrections due to the production asymmetry of the initial state and the detection asymmetries of the final states, is discussed in detail. Using the full 2011 and 2012 data sets of pp collisions collected with the LHCb detector, corresponding to an integrated luminosity of about 3 fb−1, the value ∆ACP = (0.8 ± 2.1 ± 0.2)% is obtained. The first uncertainty is statistical and the second corresponds to one of the dominant systematic effects. As the result is compatible with zero, no evidence of CP violation is found. This is the most precise measurement of CP violation in the decays of baryons containing the b quark to date. Once the analysis will be completed with an exhaustive study of systematic uncertainties, the results will be published by the LHCb Collaboration.

Design and management of a supply chain: a joint location-inventory problem under uncertainty (Part A)

In this paper, a joint location-inventory model is proposed that simultaneously optimises strategic supply chain design decisions such as facility location and customer allocation to facilities, and tactical-operational inventory management and production scheduling decisions. All this is analysed in a context of demand uncertainty and supply uncertainty. While demand uncertainty stems from potential fluctuations in customer demands over time, supply-side uncertainty is associated with the risk of “disruption” to which facilities may be subject. The latter is caused by external factors such as natural disasters, strikes, changes of ownership and information technology security incidents. The proposed model is formulated as a non-linear mixed integer programming problem to minimise the expected total cost, which includes four basic cost items: the fixed cost of locating facilities at candidate sites, the cost of transport from facilities to customers, the cost of working inventory, and the cost of safety stock. Next, since the optimisation problem is very complex and the number of evaluable instances is very low, a "matheuristic" solution is presented. This approach has a twofold objective: on the one hand, it considers a larger number of facilities and customers within the network in order to reproduce a supply chain configuration that more closely reflects a real-world context; on the other hand, it serves to generate a starting solution and perform a series of iterations to try to improve it. Thanks to this algorithm, it was possible to obtain a solution characterised by a lower total system cost than that observed for the initial solution. The study concludes with some reflections and the description of possible future insights.