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A multivariate likelihood method to measure electroweak couplings with the Drell-Yan process at the LHC is presented. The process is described by the dilepton rapidity, invariant mass, and decay angle distributions. The decay angle ambiguity due to the unknown assignment of the scattered constituent quark and antiquark to the two protons in a collision is resolved statistically using correlations between the observables. The method is applied to a sample of dimuon events from proton-proton collisions at root s = 7 TeV collected by the CMS experiment at the LHC, corresponding to an integrated luminosity of 1.1 fb(-1). From the dominant u (u) over bar, d (d) over bar -> gamma*/Z -> mu(-)mu(+) process, the effective weak mixing angle parameter is measured to be sin(2)theta(eff) = 0.2287 +/- 0.0020 (stat.) +/- 0.0025 (syst.) This result is consistent with measurements from other processes, as expected within the standard model.
Measurement of the weak mixing angle with the Drell-Yan process in proton-proton collisions at the LHC / Chatrchyan, S., Khachatryan, V., Sirunyan, A.M., Tumasyan, A., Adam, W., Bergauer, T., Dragicevic, M., Eroe, J., Fabjan, C., Friedl, M., Fruehwirth, R., Ghete, V.M., Hammer, J., Haensel, S., Hoch, M., Hoermann, N., Hrubec, J., Jeitler, M., Kiesenhofer, W., Krammer, M., et al.. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - ELETTRONICO. - 84:112002:(2011), pp. 1-23. [10.1103/PhysRevD.84.112002]
Measurement of the weak mixing angle with the Drell-Yan process in proton-proton collisions at the LHC
S. Chatrchyan;V. Khachatryan;A. M. Sirunyan;A. Tumasyan;W. Adam;T. Bergauer;M. Dragicevic;J. Eroe;C. Fabjan;M. Friedl;R. Fruehwirth;V. M. Ghete;J. Hammer;S. Haensel;M. Hoch;N. Hoermann;J. Hrubec;M. Jeitler;W. Kiesenhofer;M. Krammer;D. Liko;I. Mikulec;M. Pernicka;B. Rahbaran;H. Rohringer;R. Schoefbeck;J. Strauss;A. Taurok;F. Teischinger;C. Trauner;P. Wagner;W. Waltenberger;G. Walzel;E. Widl;C. . . E.;V. Mossolov;N. Shumeiko;J. S. Gonzalez;S. Bansal;L. Benucci;E. A. De;X. Janssen;S. Luyckx;T. Maes;L. Mucibello;S. Ochesanu;B. Roland;R. Rougny;M. Selvaggi;H. V. Haevermaet;P. V. Mechelen;N. V. Remortel;F. Blekman;S. Blyweert;J. D'Hondt;R. G. Suarez;A. Kalogeropoulos;M. Maes;A. Olbrechts;W. V. Doninck;P. V. Mulders;G. P. Van;I. Villella;O. Charaf;B. Clerbaux;G. D. Lentdecker;V. Dero;A. P. R.;G. H. Hammad;T. Hreus;P. E. Marage;A. Raval;L. Thomas;G. V. Marcken;C. V. Velde;P. Vanlaer;V. Adler;A. Cimmino;S. Costantini;M. Grunewald;B. Klein;J. Lellouch;A. Marinov;J. Mccartin;D. Ryckbosch;F. 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Petrov;R. Ryutin;A. Sobol;L. Tourtchanovitch;S. Troshin;N. Tyurin;A. Uzunian;A. Volkov;P. Adzic;M. Djordjevic;M. Ekmedzic;D. Krpic;J. Milosevic;M. Aguilar Benitez;J. A. Maestre;P. Arce;C. Battilana;E. Calvo;M. Cerrada;M. C. Llatas;N. Colino;B. D. La;A. D. Peris;C. D. Pardos;D. D. Vazquez;C. F. Bedoya;J. P. Fernandez;A. Ferrando;J. Flix;M. C. Fouz;P. Garcia Abia;O. G. Lopez;S. G. Lopez;J. M. Hernandez;M. I. Josa;G. Merino;J. P. Pelayo;I. Redondo;L. Romero;J. Santaolalla;M. S. Soares;C. Willmott;C. Albajar;G. Codispoti;J. F. de;J. Cuevas;J. F. Menendez;S. Folgueras;I. G. Caballero;L. L. Iglesias;J. M. Vizan;J. A. Brochero;I. J. Cabrillo;A. Calderon;S. H. Chuang;J. D. Campderros;M. Felcini;M. Fernandez;G. Gomez;J. G. Sanchez;C. Jorda;P. L. Pardo;A. L. Virto;J. Marco;R. Marco;C. M. Rivero;F. Matorras;F. J. Munoz;J. P. Gomez;T. Rodrigo;A. Y. Rodriguez Marrero;A. Ruiz Jimeno;L. Scodellaro;M. S. Sanudo;I. Vila;R. V. Cortabitarte;D. Abbaneo;E. Auffray;G. Auzinger;P. Baillon;A. H. Ball;D. 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Simon;P. Sphicas;D. Spiga;M. Spiropulu;M. Stoye;A. Tsirou;P. Vichoudis;H. K. Woehri;S. D. Worm;W. D. Zeuner;W. Bertl;K. Deiters;W. Erdmann;K. Gabathuler;R. Horisberger;Q. Ingram;H. C. Kaestli;S. Koenig;D. Kotlinski;U. Langenegger;F. Meier;D. Renker;T. Rohe;J. Sibille;L. Baeni;P. Bortignon;L. Caminada;B. Casal;N. Chanon;Z. Chen;S. Cittolin;G. Dissertori;M. Dittmar;J. Eugster;K. Freudenreich;C. Grab;W. Hintz;P. Lecomte;W. Lustermann;C. Marchica;P. M. Ruiz;P. Milenovic;F. Moortgat;C. Naegeli;P. Nef;F. Nessi Tedaldi;L. Pape;F. Pauss;T. Punz;A. Rizzi;F. J. Ronga;M. Rossini;L. Sala;A. K. Sanchez;M. . . C.;A. Starodumov;B. Stieger;M. Takahashi;L. Tauscher;A. Thea;K. Theofilatos;D. Treille;C. Urscheler;R. Wallny;M. Weber;L. Wehrli;J. Weng;E. Aguilo;C. Amsler;V. Chiochia;S. D. Visscher;C. Favaro;M. I. Rikova;A. Jaeger;B. M. Mejias;P. Otiougova;P. Robmann;A. Schmidt;H. Snoek;Y. H. Chang;K. H. Chen;C. M. Kuo;S. W. Li;W. Lin;Z. K. Liu;Y. J. Lu;D. Mekterovic;R. Volpe;S. S. Yu;P. Bartalini;P. Chang;Y. H. Chang;Y. W. Chang;Y. Chao;K. F. Chen;C. Dietz;U. Grundler;W. . . S.;Y. Hsiung;K. Y. Kao;Y. J. Lei;R. . . S.;J. G. Shiu;Y. M. Tzeng;X. Wan;M. Wang;A. Adiguzel;M. N. Bakirci;S. Cerci;C. Dozen;I. Dumanoglu;E. Eskut;S. Girgis;G. Gokbulut;I. Hos;E. E. Kangal;A. K. Topaksu;G. Onengut;K. Ozdemir;S. Ozturk;A. Polatoz;K. Sogut;D. S. Cerci;B. Tali;H. Topakli;D. Uzun;L. N. Vergili;M. Vergili;I. V. Akin;T. Aliev;B. Bilin;S. Bilmis;M. Deniz;H. Gamsizkan;A. M. Guler;K. Ocalan;A. Ozpineci;M. Serin;R. Sever;U. E. Surat;M. Yalvac;E. Yildirim;M. Zeyrek;M. Deliomeroglu;E. Gulmez;B. Isildak;M. Kaya;O. Kaya;M. Ozbek;S. Ozkorucuklu;N. Sonmez;L. Levchuk;F. Bostock;J. J. Brooke;T. L. Cheng;E. Clement;D. Cussans;R. Frazier;J. Goldstein;M. Grimes;G. P. Heath;H. F. Heath;L. Kreczko;S. Metson;D. M. Newbold;K. Nirunpong;A. Poll;S. Senkin;V. J. Smith;L. Basso;K. W. Bell;A. Belyaev;C. Brew;R. M. Brown;B. Camanzi;D. J. A.;J. A. Coughlan;K. Harder;S. Harper;J. Jackson;B. W. Kennedy;E. Olaiya;D. Petyt;B. C. Radburn Smith;C. H. Shepherd Themistocleous;I. R. Tomalin;W. J. Womersley;R. Bainbridge;G. Ball;J. Ballin;R. Beuselinck;O. Buchmuller;D. Colling;N. Cripps;M. Cutajar;G. Davies;M. D. Negra;W. Ferguson;J. Fulcher;D. Futyan;A. Gilbert;A. G. Bryer;G. Hall;Z. Hatherell;J. Hays;G. Iles;M. Jarvis;G. Karapostoli;L. Lyons;A. . . M.;J. Marrouche;B. Mathias;R. Nandi;J. Nash;A. Nikitenko;A. Papageorgiou;M. Pesaresi;K. Petridis;M. Pioppi;D. M. Raymond;S. Rogerson;N. Rompotis;A. Rose;M. J. Ryan;C. Seez;P. Sharp;A. Sparrow;A. Tapper;S. Tourneur;M. V. Acosta;T. Virdee;S. Wakefield;N. Wardle;D. Wardrope;T. Whyntie;M. Barrett;M. Chadwick;J. E. Cole;P. R. Hobson;A. Khan;P. Kyberd;D. Leslie;W. Martin;I. D. Reid;L. Teodorescu;K. Hatakeyama;H. Liu;C. Henderson;T. Bose;E. C. Jarrin;C. Fantasia;A. Heister;J. S. John;P. Lawson;D. Lazic;J. Rohlf;D. Sperka;L. Sulak;A. Avetisyan;S. Bhattacharya;J. P. Chou;D. Cutts;A. Ferapontov;U. Heintz;S. Jabeen;G. Kukartsev;G. Landsberg;M. Luk;M. Narain;D. Nguyen;M. 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D'Alfonso;T. Danielson;K. Flowers;P. Geffert;J. Incandela;C. Justus;P. Kalavase;S. A. Koay;D. Kovalskyi;V. Krutelyov;S. Lowette;N. Mccoll;S. D. Mullin;V. Pavlunin;F. Rebassoo;J. Ribnik;J. Richman;R. Rossin;D. Stuart;W. To;J. R. Vlimant;C. West;A. Apresyan;A. Bornheim;J. Bunn;Y. Chen;J. Duarte;M. Gataullin;Y. Ma;A. Mott;H. B. Newman;C. Rogan;K. Shin;V. Timciuc;P. Traczyk;J. Veverka;R. Wilkinson;Y. Yang;R. Y. Zhu;B. Akgun;R. Carroll;T. Ferguson;Y. Iiyama;D. W. Jang;S. Y. Jun;Y. F. Liu;M. Paulini;J. Russ;H. Vogel;I. Vorobiev;J. P. Cumalat;M. E. Dinardo;B. R. Drell;C. J. Edelmaier;W. T. Ford;A. Gaz;B. Heyburn;E. L. Lopez;U. Nauenberg;J. G. Smith;K. Stenson;K. A. Ulmer;S. R. Wagner;S. L. Zang;L. Agostino;J. Alexander;A. Chatterjee;N. Eggert;L. K. Gibbons;B. Heltsley;W. Hopkins;A. Khukhunaishvili;B. Kreis;G. N. Kaufman;J. R. Patterson;D. Puigh;A. Ryd;E. Salvati;X. Shi;W. Sun;W. D. Teo;J. Thom;J. Thompson;J. Vaughan;Y. Weng;L. Winstrom;P. Wittich;A. Biselli;G. Cirino;D. Winn;S. Abdullin;M. Albrow;J. Anderson;G. Apollinari;M. Atac;J. A. Bakken;L. A. T.;A. Beretvas;J. Berryhill;P. C. Bhat;I. Bloch;K. Burkett;J. N. Butler;V. Chetluru;H. W. K.;F. Chlebana;S. Cihangir;W. Cooper;D. P. Eartly;V. D. Elvira;S. Esen;I. Fisk;J. Freeman;Y. Gao;E. Gottschalk;D. Green;O. Gutsche;J. Hanlon;R. M. Harris;J. Hirschauer;B. Hooberman;H. Jensen;S. Jindariani;M. Johnson;U. Joshi;B. Klima;K. Kousouris;S. Kunori;S. Kwan;C. Leonidopoulos;P. Limon;D. Lincoln;R. Lipton;J. Lykken;K. Maeshima;J. M. Marraffino;D. Mason;P. McBride;T. Miao;K. Mishra;S. Mrenna;Y. Musienko;C. Newman Holmes;V. O'Dell;J. Pivarski;R. Pordes;O. Prokofyev;T. Schwarz;E. Sexton Kennedy;S. Sharma;W. J. Spalding;L. Spiegel;P. Tan;L. Taylor;S. Tkaczyk;L. Uplegger;E. W. Vaandering;R. Vidal;J. Whitmore;W. Wu;F. Yang;F. Yumiceva;J. C. Yun;D. Acosta;P. Avery;D. Bourilkov;M. Chen;S. Das;M. D. Gruttola;G. P. Di;D. Dobur;A. Drozdetskiy;R. D. Field;M. Fisher;Y. Fu;I. K. Furic;J. Gartner;S. Goldberg;J. Hugon;B. Kim;J. Konigsberg;A. Korytov;A. Kropivnitskaya;T. Kypreos;J. F. Low;K. Matchev;G. Mitselmakher;L. Muniz;P. Myeonghun;R. Remington;A. Rinkevicius;M. Schmitt;B. Scurlock;P. Sellers;N. Skhirtladze;M. Snowball;D. Wang;J. Yelton;M. Zakaria;V. Gaultney;L. M. Lebolo;S. Linn;P. Markowitz;G. Martinez;J. L. Rodriguez;T. Adams;A. Askew;J. Bochenek;J. Chen;B. Diamond;S. V. Gleyzer;J. Haas;S. Hagopian;V. Hagopian;M. Jenkins;K. F. Johnson;H. Prosper;S. Sekmen;V. Veeraraghavan;M. M. Baarmand;B. Dorney;M. Hohlmann;H. Kalakhety;I. Vodopiyanov;M. R. Adams;I. M. Anghel;L. Apanasevich;Y. Bai;V. E. Bazterra;R. R. Betts;J. Callner;R. Cavanaugh;C. Dragoiu;L. Gauthier;C. E. Gerber;D. J. Hofman;S. Khalatyan;G. J. Kunde;F. Lacroix;M. Malek;C. O'Brien;C. Silkworth;C. Silvestre;A. Smoron;D. Strom;N. Varelas;U. Akgun;E. A. Albayrak;B. Bilki;W. Clarida;F. Duru;C. K. Lae;E. McCliment;J. . . P.;H. Mermerkaya;A. Mestvirishvili;A. Moeller;J. Nachtman;C. R. Newsom;E. Norbeck;J. Olson;Y. Onel;F. Ozok;S. Sen;J. Wetzel;T. Yetkin;K. Yi;B. A. Barnett;B. Blumenfeld;A. Bonato;C. Eskew;D. Fehling;G. Giurgiu;A. V. Gritsan;K. Grizzard;Z. J. Guo;G. Hu;P. Maksimovic;S. Rappoccio;M. Swartz;N. V. Tran;A. Whitbeck;P. Baringer;A. Bean;G. Benelli;O. Grachov;R. P. Kenny;M. Murray;D. Noonan;S. Sanders;R. Stringer;J. S. Wood;V. Zhukova;A. F. Barfuss;T. Bolton;I. Chakaberia;A. Ivanov;S. Khalil;M. Makouski;Y. Maravin;S. Shrestha;I. Svintradze;J. Gronberg;D. Lange;D. Wright;A. Baden;M. Boutemeur;S. C. Eno;D. Ferencek;J. A. Gomez;N. J. Hadley;R. G. Kellogg;M. Kirn;Y. Lu;A. C. Mignerey;K. Rossato;P. Rumerio;F. Santanastasio;A. Skuja;J. Temple;M. B. Tonjes;S. C. Tonwar;E. Twedt;B. Alver;G. Bauer;J. Bendavid;W. Busza;E. Butz;I. A. Cali;M. Chan;V. Dutta;P. Everaerts;G. G. Ceballos;M. Goncharov;K. A. Hahn;P. Harris;Y. Kim;M. Klute;Y. . . J.;W. Li;C. Loizides;P. D. Luckey;T. Ma;S. Nahn;C. Paus;D. Ralph;C. Roland;G. Roland;M. Rudolph;G. S. F.;F. Stoeckli;K. Sumorok;K. Sung;D. Velicanu;E. A. Wenger;R. Wolf;B. Wyslouch;S. Xie;M. Yang;Y. Yilmaz;A. S. Yoon;M. Zanetti;S. I. Cooper;P. Cushman;B. Dahmes;A. D. Benedetti;G. Franzoni;A. Gude;J. Haupt;K. Klapoetke;Y. Kubota;J. Mans;N. Pastika;V. Rekovic;R. Rusack;M. Sasseville;A. Singovsky;N. Tambe;J. Turkewitz;L. M. Cremaldi;R. Godang;R. Kroeger;L. Perera;R. Rahmat;D. A. Sanders;D. Summers;K. Bloom;S. Bose;J. Butt;D. R. Claes;A. Dominguez;M. Eads;P. Jindal;J. Keller;T. Kelly;I. Kravchenko;J. Lazo Flores;H. Malbouisson;S. Malik;G. R. Snow;U. Baur;A. Godshalk;I. Iashvili;S. Jain;A. Kharchilava;A. Kumar;K. Smith;Z. Wan;G. Alverson;E. Barberis;D. Baumgartel;O. Boeriu;M. Chasco;S. Reucroft;J. Swain;D. Trocino;D. Wood;J. Zhang;A. Anastassov;A. Kubik;N. Mucia;N. Odell;R. A. Ofierzynski;B. Pollack;A. Pozdnyakov;M. Schmitt;S. Stoynev;M. Velasco;S. Won;L. Antonelli;D. Berry;A. Brinkerhoff;M. Hildreth;C. Jessop;D. J. Karmgard;J. Kolb;T. Kolberg;K. Lannon;W. Luo;S. Lynch;N. Marinelli;D. M. Morse;T. Pearson;R. Ruchti;J. Slaunwhite;N. Valls;M. Wayne;J. Ziegler;B. Bylsma;L. S. Durkin;C. Hill;P. Killewald;K. Kotov;T. Y. Ling;M. Rodenburg;C. Vuosalo;G. Williams;N. Adam;E. Berry;P. Elmer;D. Gerbaudo;V. Halyo;P. Hebda;A. Hunt;E. Laird;D. L. Pegna;D. Marlow;T. Medvedeva;M. Mooney;J. Olsen;P. Piroue;X. Quan;H. Saka;D. Stickland;C. Tully;J. S. Werner;A. Zuranski;J. G. Acosta;X. T. Huang;A. Lopez;H. Mendez;S. Oliveros;J. E. Ramirez;A. Zatserklyaniy;E. Alagoz;V. E. Barnes;G. Bolla;L. Borrello;D. Bortoletto;M. D. Mattia;A. Everett;L. Gutay;Z. Hu;M. Jones;O. Koybasi;M. Kress;A. T. Laasanen;N. Leonardo;V. Maroussov;P. Merkel;D. H. Miller;N. Neumeister;I. Shipsey;D. Silvers;A. Svyatkovskiy;M. V. Marono;H. D. Yoo;J. Zablocki;Y. Zheng;S. Guragain;N. Parashar;A. Adair;C. Boulahouache;K. M. Ecklund;F. J. M.;B. P. Padley;R. Redjimi;J. Roberts;J. Zabel;B. Betchart;A. Bodek;Y. S. Chung;R. Covarelli;P. d. Barbaro;R. Demina;Y. Eshaq;H. Flacher;A. Garcia Bellido;P. Goldenzweig;Y. Gotra;J. Han;A. Harel;D. C. Miner;G. Petrillo;W. Sakumoto;D. Vishnevskiy;M. Zielinski;A. Bhatti;R. Ciesielski;L. Demortier;K. Goulianos;G. Lungu;S. Malik;C. Mesropian;S. Arora;O. Atramentov;A. Barker;C. Contreras Campana;E. Contreras Campana;D. Duggan;Y. Gershtein;R. Gray;E. Halkiadakis;D. Hidas;D. Hits;A. Lath;S. Panwalkar;M. Park;R. Patel;A. Richards;K. Rose;S. Schnetzer;S. Somalwar;R. Stone;S. Thomas;G. Cerizza;M. Hollingsworth;S. Spanier;Z. C. Yang;A. York;R. Eusebi;W. Flanagan;J. Gilmore;A. Gurrola;T. Kamon;V. Khotilovich;R. Montalvo;I. Osipenkov;Y. Pakhotin;A. Perloff;J. Roe;A. Safonov;S. Sengupta;I. Suarez;A. Tatarinov;D. Toback;N. Akchurin;C. Bardak;J. Damgov;P. R. Dudero;C. Jeong;K. Kovitanggoon;S. W. Lee;T. Libeiro;P. Mane;Y. Roh;A. Sill;I. Volobouev;R. Wigmans;E. Yazgan;E. Appelt;E. Brownson;D. Engh;C. Florez;W. Gabella;M. Issah;W. Johns;C. Johnston;P. Kurt;C. Maguire;A. Melo;P. Sheldon;B. Snook;S. Tuo;J. Velkovska;M. W. Arenton;M. Balazs;S. Boutle;B. Cox;B. Francis;S. Goadhouse;J. Goodell;R. Hirosky;A. Ledovskoy;C. Lin;C. Neu;J. Wood;R. Yohay;S. Gollapinni;R. Harr;P. E. Karchin;C. K. Kankanamge;P. Lamichhane;M. Mattson;C. Milstene;A. Sakharov;M. Anderson;M. Bachtis;D. Belknap;J. N. Bellinger;D. Carlsmith;M. Cepeda;S. Dasu;J. Efron;E. Friis;L. Gray;K. S. Grogg;M. Grothe;R. Hall Wilton;M. Herndon;A. Herve;P. Klabbers;J. Klukas;A. Lanaro;C. Lazaridis;J. Leonard;R. Loveless;A. Mohapatra;I. Ojalvo;W. Parker;I. Ross;A. Savin;W. H. Smith;J. Swanson;M. Weinberg
2011
Abstract
A multivariate likelihood method to measure electroweak couplings with the Drell-Yan process at the LHC is presented. The process is described by the dilepton rapidity, invariant mass, and decay angle distributions. The decay angle ambiguity due to the unknown assignment of the scattered constituent quark and antiquark to the two protons in a collision is resolved statistically using correlations between the observables. The method is applied to a sample of dimuon events from proton-proton collisions at root s = 7 TeV collected by the CMS experiment at the LHC, corresponding to an integrated luminosity of 1.1 fb(-1). From the dominant u (u) over bar, d (d) over bar -> gamma*/Z -> mu(-)mu(+) process, the effective weak mixing angle parameter is measured to be sin(2)theta(eff) = 0.2287 +/- 0.0020 (stat.) +/- 0.0025 (syst.) This result is consistent with measurements from other processes, as expected within the standard model.
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/772359
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simulazione ASN
Il report seguente simula gli indicatori relativi alla propria produzione scientifica in relazione alle soglie ASN 2023-2025 del proprio SC/SSD. Si ricorda che il superamento dei valori soglia (almeno 2 su 3) è requisito necessario ma non sufficiente al conseguimento dell'abilitazione. La simulazione si basa sui dati IRIS e sugli indicatori bibliometrici alla data indicata e non tiene conto di eventuali periodi di congedo obbligatorio, che in sede di domanda ASN danno diritto a incrementi percentuali dei valori. La simulazione può differire dall'esito di un’eventuale domanda ASN sia per errori di catalogazione e/o dati mancanti in IRIS, sia per la variabilità dei dati bibliometrici nel tempo. Si consideri che Anvur calcola i valori degli indicatori all'ultima data utile per la presentazione delle domande.
La presente simulazione è stata realizzata sulla base delle specifiche raccolte sul tavolo ER del Focus Group IRIS coordinato dall’Università di Modena e Reggio Emilia e delle regole riportate nel DM 589/2018 e allegata Tabella A. Cineca, l’Università di Modena e Reggio Emilia e il Focus Group IRIS non si assumono alcuna responsabilità in merito all’uso che il diretto interessato o terzi faranno della simulazione. Si specifica inoltre che la simulazione contiene calcoli effettuati con dati e algoritmi di pubblico dominio e deve quindi essere considerata come un mero ausilio al calcolo svolgibile manualmente o con strumenti equivalenti.