Exercises of Quantum Field Theory
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An incomplete set of QFT exercises with solutions, part of the QFT course in Milano Statale. Read more
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An incomplete set of QFT exercises with solutions, part of the QFT course in Milano Statale. Read more
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A note about the introductory course of QFT based on the noted of David Tong. Read more
Published in University of Rome La Sapienza, physics department, 2021
Precision physics is nowadays considered to be the key to understand many unknown aspects of the phenomenology beyond the Standard Model (SM) and, in the next future, with the coming, for instance, of the LHC (Large Hadron Collider) phase III, the experimental precision will considerably increase. This requires the theoretical precision to improve as well, at least at the same level, in order to make the distinction between Standard Model and new physic signals possible. This thesis arises in this framework and, in particular, in the context of precision predictions on hadron collider processes. The most relevant contribution to such processes is given by QCD but, in some kinematical regimes, it can not be treated in a standard perturbative way because of the appearance of non-perturbative mass logarithmic terms. In these cases, in order to obtain accurate phenomenological predictions, it is necessary to resum such terms to all orders. The main goal of this thesis is then the construction of a method to include mass-power corrections to the results obtained trough the resummation, in such a way to obtain a prediction that is reliable in a wide kinematic region. This method is completely general but, for clarity sake, it is applied to deep-inelastic scattering and, in particular, to the proton electromagnetic structure functions. The final predictions for such observables are obtained with different prescriptions, some of which constitute the original proposal of this thesis, and their consequences are analyzed in detail. Moreover, the proposal of this thesis will soon make possible to treat the N3LO deep-inelastic scattering and so it will give access to the next generation of the parton distribution functions (PDFs). Read more
Published in University of Milan, physics department, 2023
We present a collection of tools automating the efficient computation of large sets of theory predictions for high-energy physics. Calculating predictions for different processes often require dedicated programs. These programs, however, accept inputs and produce outputs that are usually very different from each other. The industrialization of theory predictions is achieved by a framework which harmonizes inputs (runcard, parameter settings), standardizes outputs (in the form of grids), produces reusable intermediate objects, and carefully tracks all meta data required to reproduce the computation. Parameter searches and fitting of non-perturbative objects are exemplary use cases that require a full or partial re-computation of theory predictions and will thus benefit of such a toolset. As an example application we present a study of the impact of replacing NNLO QCD K-factors in a PDF fit with the exact NNLO predictions. Read more
Published in University of Milan, physics department, 2024
We construct a set of parton distribution functions (PDFs), based on the recent NNPDF4.0 PDF set, that also include a photon PDF. The photon PDF is constructed using the LuxQED formalism, while QED evolution accounting for O(alpha), O(alpha alphas) and O(alpha^2) corrections is implemented and benchmarked by means of the EKO code. We investigate the impact of QED effects on NNPDF4.0, and compare our results both to our previous NNPDF3.1QED PDF set and to other recent PDF sets that include the photon. We assess the impact of photon-initiated processes and electroweak corrections on a variety of representative LHC processes, and find that they can reach the 5% level in vector boson pair production at large invariant mass. Read more
Published in University of Milan, physics department, 2024
We include uncertainties due to missing higher order corrections to QCD computations (MHOU) used in the determination of parton distributions (PDFs) in the recent NNPDF4.0 set of PDFs. We use our previously published methodology, based on the treatment of MHOUs and their full correlations through a theory covariance matrix determined by scale variation, now fully incorporated in the new NNPDF theory pipeline. We assess the impact of the inclusion of MHOUs on the NNPDF4.0 central values and uncertainties, and specifically show that they lead to improved consistency of the PDF determination with an ensuing moderate reduction of PDF uncertainties at NNLO. Read more
Published in University of Milan, physics department, 2024
We extend the existing leading (LO), next-to-leading (NLO), and next-to-next-to-leading order (NNLO) NNPDF4.0 sets of parton distribution functions (PDFs) to approximate next-to-next-to-next-to-leading order (aN3LO). We construct an approximation to the N3LO splitting functions that includes all available partial information from both fixed-order computations and from small and large x resummation, and estimate the uncertainty on this approximation by varying the set of basis functions used to construct the approximation. We include known N3LO corrections to deep-inelastic scattering structure functions and extend the FONLL general-mass scheme to O(αs^3) accuracy. We determine a set of aN3LO PDFs by accounting both for the uncertainty on splitting functions due to the incomplete knowledge of N3LO terms, and to the uncertainty related to missing higher corrections (MHOU), estimated by scale variation, through a theory covariance matrix formalism. We assess the perturbative stability of the resulting PDFs, we study the impact of MHOUs on them, and we compare our results to the aN3LO PDFs from the MSHT group. We examine the phenomenological impact of aN3LO corrections on parton luminosities at the LHC, and give a first assessment of the impact of aN3LO PDFs on the Higgs and Drell-Yan total production cross-sections. We find that the aN3LO NNPDF4.0 PDFs are consistent within uncertainties with their NNLO counterparts, that they improve the description of the global dataset and the perturbative convergence of Higgs and Drell-Yan cross-sections, and that MHOUs on PDFs decrease substantially with the increase of perturbative order. Read more
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A talk about the topic of my master thesis: the resummation to all orders of the mass logarthms in DIS and the proposal of a new scheme to include them. Read more
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A brief discussion about how theory errors can be included in PDF fits and why they should be. Read more
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A brief discussion about how theory errors can be included in PDF fits and why they should be. Read more
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A brief discussion about how theory errors can be included in PDF fits and why they should be. Read more
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A presentation of this new set of tools for the computation of QFT theory predictions. Read more
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A seminar about Neural Networks techniques applied to parton distribution functions evaluation. Read more
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A seminar about theory errors in PDF fitting performed with machine learning techniques. Read more
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A talk about strong coupling extraction with simulated data from EIC future collider. Read more
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A seminar about theory errors in PDF fitting performed with machine learning techniques. Read more
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A talk about the newest NNLO and N3LO NNPDF PDFs with theory uncertainties Read more
Tutoring, University of Milan, physics department, 2021
The github of the course with all the material is here. Read more
Tutoring, University of Milan, physics department, 2021
Tutoring, University of Milan, physics department, 2022
The github of the course with all the material is here. Read more
Tutoring, University of Milan, physics department, 2022
Tutoring, University of Milan, physics department, 2023
Tutoring, University of Milan, physics department, 2023