Descrizione del progetto
Calcoli multi loop per l’LHC
I risultati degli esperimenti dell’LHC (Large Hadron Collider, ovvero il Grande collisore di adroni) hanno confermato la validità del Modello Standard fino a scale energetiche senza precedenti. Il potenziamento ad alta luminosità dell’LHC permetterà di sondare il modello standard con una precisione ancora maggiore. Si prevede che la precisione delle misurazioni principali raggiungerà il livello percentuale, dove si potranno vedere gli effetti della nuova fisica. I ricercatori hanno recentemente combinato tecniche geometriche con tecniche numeriche esatte per eseguire calcoli mai svolti prima della forma analitica di una serie di ampiezze di dispersione a cinque punti a due loop per le teorie fenomenologiche. Nel progetto LoopAnsatz, finanziato dall’UE, i ricercatori applicheranno queste tecniche a una serie di processi di cromodinamica quantistica (QCD). Si prevede che i risultati delle correzioni QCD next-to-leading promuoveranno la capacità dei ricercatori di calcolare le ampiezze di dispersione delle particelle.
Obiettivo
The Standard Model of Particle Physics is impressively consistent with the experimental measurements at the Large Hadron Collider at CERN, Geneva. In the coming years, with increased experimental statistics, precision will rise even further, allowing a unique opportunity to uncover new physics. A necessary component of this pursuit is a set of theoretical predictions made at the per cent level for a broad range of observables. In the past decade, previously unthinkable availability of precision predictions incorporating the leading quantum corrections has been made possible by technological leaps. Nevertheless, to match the discovery potential of the LHC in the near future, further theory advances will be needed.
In my recent work, I combined geometrical insights with exact numerical techniques, to perform world-first computations of the analytic form of a plethora of five-point, two-loop scattering amplitudes in both phenomenologically relevant and formally interesting theories. In this project, I will apply this technology to a range of QCD processes, culminating in new results with immediate relevance for next-to-next-to-leading order corrections at the LHC and improved fundamental understandings of scattering amplitudes. First, I will systematically apply the approach to the computation of non-planar five-parton amplitudes in QCD. Second, I will calculate the non-planar master integrals relevant for all two-loop five-point processes with one massive leg, for example the production of a Higgs boson with two jets. Then, I will break current complexity thresholds by computing the phenomenologically relevant scattering amplitudes for the production of a W, Z, or Higgs boson, each with two associated jets.
To achieve these lofty goals, I will draw on insights into the mathematical and physical structures underlying scattering amplitudes and employ modern tools such as finite-field arithmetic, analyticity-inspired techniques and computational algebraic geometry.
Campo scientifico
- natural sciencesphysical sciencestheoretical physicsparticle physicsparticle accelerator
- natural sciencesmathematicspure mathematicsarithmetics
- natural sciencesmathematicspure mathematicsgeometry
- natural sciencesphysical sciencestheoretical physicsparticle physicshiggs bosons
- natural sciencesmathematicspure mathematicsalgebraalgebraic geometry
Parole chiave
Programma(i)
Argomento(i)
Meccanismo di finanziamento
MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)Coordinatore
1211 GENEVE 23
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