Eur. Phys. J. C (2025) 85: 342
https://doi.org/10.1140/epjc/s10052-024-13729-y

Regular Article - Experimental Physics

Search for pair production of heavy particles decaying to a top quark and a gluon in the lepton+jets final state in proton–proton collisions at $\sqrt{s}=13\text{Te}\text{V}$

¹ Yerevan Physics Institute, Yerevan, Armenia
² Institut für Hochenergiephysik, Vienna, Austria
³ Universiteit Antwerpen, Antwerpen, Belgium
⁴ Vrije Universiteit Brussel, Brussel, Belgium
⁵ Université Libre de Bruxelles, Bruxelles, Belgium
⁶ Ghent University, Ghent, Belgium
⁷ Université Catholique de Louvain, Louvain-la-Neuve, Belgium
⁸ Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, Brazil
⁹ Universidade do Estado do Rio de Janeiro, Rio de Janeiro, Brazil
¹⁰ Universidade Estadual Paulista, Universidade Federal do ABC, São Paulo, Brazil
¹¹ Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria
¹² University of Sofia, Sofia, Bulgaria
¹³ Instituto De Alta Investigación, Universidad de Tarapacá, Casilla 7 D, Arica, Chile
¹⁴ Beihang University, Beijing, China
¹⁵ Department of Physics, Tsinghua University, Beijing, China
¹⁶ Institute of High Energy Physics, Beijing, China
¹⁷ State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing, China
¹⁸ Guangdong Provincial Key Laboratory of Nuclear Science and Guangdong-Hong Kong Joint Laboratory of Quantum Matter, South China Normal University, Guangzhou, China
¹⁹ Sun Yat-Sen University, Guangzhou, China
²⁰ University of Science and Technology of China, Hefei, China
²¹ Nanjing Normal University, Nanjing, China
²² Institute of Modern Physics and Key Laboratory of Nuclear Physics and Ion-beam Application (MOE)-Fudan University, Shanghai, China
²³ Zhejiang University, Hangzhou, Zhejiang, China
²⁴ Universidad de Los Andes, Bogota, Colombia
²⁵ Universidad de Antioquia, Medellin, Colombia
²⁶ University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, Split, Croatia
²⁷ University of Split, Faculty of Science, Split, Croatia
²⁸ Institute Rudjer Boskovic, Zagreb, Croatia
²⁹ University of Cyprus, Nicosia, Cyprus
³⁰ Charles University, Prague, Czech Republic
³¹ Escuela Politecnica Nacional, Quito, Ecuador
³² Universidad San Francisco de Quito, Quito, Ecuador
³³ Academy of Scientific Research and Technology of the Arab Republic of Egypt, Egyptian Network of High Energy Physics, Cairo, Egypt
³⁴ Center for High Energy Physics (CHEP-FU), Fayoum University, El-Fayoum, Egypt
³⁵ National Institute of Chemical Physics and Biophysics, Tallinn, Estonia
³⁶ Department of Physics, University of Helsinki, Helsinki, Finland
³⁷ Helsinki Institute of Physics, Helsinki, Finland
³⁸ Lappeenranta-Lahti University of Technology, Lappeenranta, Finland
³⁹ IRFU, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
⁴⁰ Laboratoire Leprince-Ringuet, CNRS/IN2P3, Ecole Polytechnique, Institut Polytechnique de Paris, Palaiseau, France
⁴¹ Université de Strasbourg, CNRS, IPHC UMR 7178, Strasbourg, France
⁴² Centre de Calcul de l’Institut National de Physique Nucleaire et de Physique des Particules, CNRS/IN2P3, Villeurbanne, France
⁴³ Institut de Physique des 2 Infinis de Lyon (IP2I ), Villeurbanne, France
⁴⁴ Georgian Technical University, Tbilisi, Georgia
⁴⁵ I. Physikalisches Institut, RWTH Aachen University, Aachen, Germany
⁴⁶ III. Physikalisches Institut A, RWTH Aachen University, Aachen, Germany
⁴⁷ III. Physikalisches Institut B, RWTH Aachen University, Aachen, Germany
⁴⁸ Deutsches Elektronen-Synchrotron, Hamburg, Germany
⁴⁹ University of Hamburg, Hamburg, Germany
⁵⁰ Karlsruher Institut fuer Technologie, Karlsruhe, Germany
⁵¹ Institute of Nuclear and Particle Physics (INPP), NCSR Demokritos, Aghia Paraskevi, Greece
⁵² National and Kapodistrian University of Athens, Athens, Greece
⁵³ National Technical University of Athens, Athens, Greece
⁵⁴ University of Ioánnina, Ioannina, Greece
⁵⁵ HUN-REN Wigner Research Centre for Physics, Budapest, Hungary
⁵⁶ MTA-ELTE Lendület CMS Particle and Nuclear Physics Group, Eötvös Loránd University, Budapest, Hungary
⁵⁷ Faculty of Informatics, University of Debrecen, Debrecen, Hungary
⁵⁸ HUN-REN ATOMKI-Institute of Nuclear Research, Debrecen, Hungary
⁵⁹ Karoly Robert Campus, MATE Institute of Technology, Gyongyos, Hungary
⁶⁰ Panjab University, Chandigarh, India
⁶¹ University of Delhi, Delhi, India
⁶² Saha Institute of Nuclear Physics, HBNI, Kolkata, India
⁶³ Indian Institute of Technology Madras, Madras, India
⁶⁴ Tata Institute of Fundamental Research-A, Mumbai, India
⁶⁵ Tata Institute of Fundamental Research-B, Mumbai, India
⁶⁶ National Institute of Science Education and Research, An OCC of Homi Bhabha National Institute, Bhubaneswar, Odisha, India
⁶⁷ Indian Institute of Science Education and Research (IISER), Pune, India
⁶⁸ Isfahan University of Technology, Isfahan, Iran
⁶⁹ Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
⁷⁰ University College Dublin, Dublin, Ireland
⁷¹ INFN Sezione di Bari, Università di Bari, Politecnico di Bari, Bari, Italy
⁷² INFN Sezione di Bologna, Università di Bologna, Bologna, Italy
⁷³ INFN Sezione di Catania, Università di Catania, Catania, Italy
⁷⁴ INFN Sezione di Firenze, Università di Firenze, Firenze, Italy
⁷⁵ INFN Laboratori Nazionali di Frascati, Frascati, Italy
⁷⁶ INFN Sezione di Genova, Università di Genova, Genoa, Italy
⁷⁷ INFN Sezione di Milano-Bicocca, Università di Milano-Bicocca, Milan, Italy
⁷⁸ INFN Sezione di Napoli, Università di Napoli ’Federico II’, Napoli, Italy; Università della Basilicata, Potenza, Italy; Scuola Superiore Meridionale (SSM), Naples, Italy
⁷⁹ INFN Sezione di Padova, Università di Padova, Padova, Italy; Università di Trento, Trento, Italy
⁸⁰ INFN Sezione di Pavia, Università di Pavia, Pavia, Italy
⁸¹ INFN Sezione di Perugia, Università di Perugia, Perugia, Italy
⁸² INFN Sezione di Pisa, Università di Pisa, Scuola Normale Superiore di Pisa, Pisa, Italy; Università di Siena, Siena, Italy
⁸³ INFN Sezione di Roma, Sapienza Università di Roma, Rome, Italy
⁸⁴ INFN Sezione di Torino, Università di Torino, Torino, Italy; Università del Piemonte Orientale, Novara, Italy
⁸⁵ INFN Sezione di Trieste, Università di Trieste, Trieste, Italy
⁸⁶ Kyungpook National University, Daegu, Korea
⁸⁷ Department of Mathematics and Physics - GWNU, Gangneung, Korea
⁸⁸ Chonnam National University, Institute for Universe and Elementary Particles, Kwangju, Korea
⁸⁹ Hanyang University, Seoul, Korea
⁹⁰ Korea University, Seoul, Korea
⁹¹ Kyung Hee University, Department of Physics, Seoul, Korea
⁹² Sejong University, Seoul, Korea
⁹³ Seoul National University, Seoul, Korea
⁹⁴ University of Seoul, Seoul, Korea
⁹⁵ Yonsei University, Department of Physics, Seoul, Korea
⁹⁶ Sungkyunkwan University, Suwon, Korea
⁹⁷ College of Engineering and Technology, American University of the Middle East (AUM), Dasman, Kuwait
⁹⁸ Department of Physics, Kuwait University-College of Science, Safat, Kuwait
⁹⁹ Riga Technical University, Riga, Latvia
¹⁰⁰ University of Latvia (LU), Riga, Latvia
¹⁰¹ Vilnius University, Vilnius, Lithuania
¹⁰² National Centre for Particle Physics, Universiti Malaya, Kuala Lumpur, Malaysia
¹⁰³ Universidad de Sonora (UNISON), Hermosillo, Mexico
¹⁰⁴ Centro de Investigacion y de Estudios Avanzados del IPN, Mexico City, Mexico
¹⁰⁵ Universidad Iberoamericana, Mexico City, Mexico
¹⁰⁶ Benemerita Universidad Autonoma de Puebla, Puebla, Mexico
¹⁰⁷ University of Montenegro, Podgorica, Montenegro
¹⁰⁸ University of Canterbury, Christchurch, New Zealand
¹⁰⁹ National Centre for Physics, Quaid-I-Azam University, Islamabad, Pakistan
¹¹⁰ AGH University of Krakow, Kraków, Poland
¹¹¹ National Centre for Nuclear Research, Swierk, Poland
¹¹² Institute of Experimental Physics, Faculty of Physics, University of Warsaw, Warsaw, Poland
¹¹³ Warsaw University of Technology, Warsaw, Poland
¹¹⁴ Laboratório de Instrumentação e Física Experimental de Partículas, Lisbon, Portugal
¹¹⁵ Faculty of Physics, University of Belgrade, Belgrade, Serbia
¹¹⁶ VINCA Institute of Nuclear Sciences, University of Belgrade, Belgrade, Serbia
¹¹⁷ Centro de Investigaciones Energéticas Medioambientales y Tecnológicas (CIEMAT), Madrid, Spain
¹¹⁸ Universidad Autónoma de Madrid, Madrid, Spain
¹¹⁹ Instituto Universitario de Ciencias y Tecnologías Espaciales de Asturias (ICTEA), Universidad de Oviedo, Oviedo, Spain
¹²⁰ Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria, Santander, Spain
¹²¹ University of Colombo, Colombo, Sri Lanka
¹²² University of Ruhuna, Department of Physics, Matara, Sri Lanka
¹²³ CERN, European Organization for Nuclear Research, Geneva, Switzerland
¹²⁴ Paul Scherrer Institut, Villigen, Switzerland
¹²⁵ ETH Zurich-Institute for Particle Physics and Astrophysics (IPA), Zurich, Switzerland
¹²⁶ Universität Zürich, Zurich, Switzerland
¹²⁷ National Central University, Chung-Li, Taiwan
¹²⁸ National Taiwan University (NTU), Taipei, Taiwan
¹²⁹ High Energy Physics Research Unit, Department of Physics, Faculty of Science, Chulalongkorn University, Bangkok, Thailand
¹³⁰ Tunis El Manar University, Tunis, Tunisia
¹³¹ Physics Department Science and Art Faculty, Çukurova University, Adana, Turkey
¹³² Physics Department, Middle East Technical University, Ankara, Turkey
¹³³ Bogazici University, Istanbul, Turkey
¹³⁴ Istanbul Technical University, Istanbul, Turkey
¹³⁵ Istanbul University, Istanbul, Turkey
¹³⁶ Yildiz Technical University, Istanbul, Turkey
¹³⁷ Institute for Scintillation Materials of National Academy of Science of Ukraine, Kharkiv, Ukraine
¹³⁸ National Science Centre, Kharkiv Institute of Physics and Technology, Kharkiv, Ukraine
¹³⁹ University of Bristol, Bristol, UK
¹⁴⁰ Rutherford Appleton Laboratory, Didcot, UK
¹⁴¹ Imperial College, London, UK
¹⁴² Brunel University, Uxbridge, UK
¹⁴³ Baylor University, Waco, TX, USA
¹⁴⁴ Catholic University of America, Washington, DC, USA
¹⁴⁵ The University of Alabama, Tuscaloosa, AL, USA
¹⁴⁶ Boston University, Boston, MA, USA
¹⁴⁷ Brown University, Providence, RI, USA
¹⁴⁸ University of California, Davis, Davis, CA, USA
¹⁴⁹ University of California, Los Angeles, CA, USA
¹⁵⁰ University of California, Riverside, Riverside, CA, USA
¹⁵¹ University of California, San Diego, La Jolla, CA, USA
¹⁵² Department of Physics, University of California, Santa Barbara, Santa Barbara, CA, USA
¹⁵³ California Institute of Technology, Pasadena, CA, USA
¹⁵⁴ Carnegie Mellon University, Pittsburgh, PA, USA
¹⁵⁵ University of Colorado Boulder, Boulder, CO, USA
¹⁵⁶ Cornell University, Ithaca, NY, USA
¹⁵⁷ Fermi National Accelerator Laboratory, Batavia, IL, USA
¹⁵⁸ University of Florida, Gainesville, FL, USA
¹⁵⁹ Florida State University, Tallahassee, FL, USA
¹⁶⁰ Florida Institute of Technology, Melbourne, FL, USA
¹⁶¹ University of Illinois Chicago, Chicago, IL, USA
¹⁶² The University of Iowa, Iowa City, IA, USA
¹⁶³ Johns Hopkins University, Baltimore, MD, USA
¹⁶⁴ The University of Kansas, Lawrence, KS, USA
¹⁶⁵ Kansas State University, Manhattan, KS, USA
¹⁶⁶ University of Maryland, College Park, MD, USA
¹⁶⁷ Massachusetts Institute of Technology, Cambridge, MA, USA
¹⁶⁸ University of Minnesota, Minneapolis, MN, USA
¹⁶⁹ University of Nebraska-Lincoln, Lincoln, NE, USA
¹⁷⁰ State University of New York at Buffalo, Buffalo, NY, USA
¹⁷¹ Northeastern University, Boston, MA, USA
¹⁷² Northwestern University, Evanston, IL, USA
¹⁷³ University of Notre Dame, Notre Dame, IN, USA
¹⁷⁴ The Ohio State University, Columbus, OH, USA
¹⁷⁵ Princeton University, Princeton, NJ, USA
¹⁷⁶ University of Puerto Rico, Mayaguez, PR, USA
¹⁷⁷ Purdue University, West Lafayette, IN, USA
¹⁷⁸ Purdue University Northwest, Hammond, IN, USA
¹⁷⁹ Rice University, Houston, TX, USA
¹⁸⁰ University of Rochester, Rochester, NY, USA
¹⁸¹ Rutgers, The State University of New Jersey, Piscataway, NJ, USA
¹⁸² University of Tennessee, Knoxville, TN, USA
¹⁸³ Texas A&M University, College Station, TX, USA
¹⁸⁴ Texas Tech University, Lubbock, TX, USA
¹⁸⁵ Vanderbilt University, Nashville, TN, USA
¹⁸⁶ University of Virginia, Charlottesville, VA, USA
¹⁸⁷ Wayne State University, Detroit, MI, USA
¹⁸⁸ University of Wisconsin-Madison, Madison, WI, USA
¹⁸⁹ Authors affiliated with an institute or an international laboratory covered by a cooperation agreement with CERN, Geneva, Switzerland
¹⁹⁰ Yerevan State University, Yerevan, Armenia
¹⁹¹ TU Wien, Vienna, Austria
¹⁹² Ghent University, Ghent, Belgium
¹⁹³ Universidade do Estado do Rio de Janeiro, Rio de Janeiro, Brazil
¹⁹⁴ FACAMP - Faculdades de Campinas, Sao Paulo, Brazil
¹⁹⁵ Universidade Estadual de Campinas, Campinas, Brazil
¹⁹⁶ Federal University of Rio Grande do Sul, Porto Alegre, Brazil
¹⁹⁷ University of Chinese Academy of Sciences, Beijing, China
¹⁹⁸ China Center of Advanced Science and Technology, Beijing, China
¹⁹⁹ University of Chinese Academy of Sciences, Beijing, China
²⁰⁰ China Spallation Neutron Source, Guangdong, China
²⁰¹ Henan Normal University, Xinxiang, China
²⁰² University of Shanghai for Science and Technology, Shanghai, China
²⁰³ The University of Iowa, Iowa City, USA
²⁰⁴ an institute or an international laboratory covered by a cooperation agreement with CERN, Geneva, Switzerland
²⁰⁵ Cairo University, Cairo, Egypt
²⁰⁶ Suez University, Suez, Egypt
²⁰⁷ British University in Egypt, Cairo, Egypt
²⁰⁸ Purdue University, West Lafayette, IN, USA
²⁰⁹ Université de Haute Alsace, Mulhouse, France
²¹⁰ Istinye University, Istanbul, Turkey
²¹¹ The University of the State of Amazonas, Manaus, Brazil
²¹² University of Hamburg, Hamburg, Germany
²¹³ RWTH Aachen University, III. Physikalisches Institut A, Aachen, Germany
²¹⁴ Bergische University Wuppertal (BUW), Wuppertal, Germany
²¹⁵ Brandenburg University of Technology, Cottbus, Germany
²¹⁶ Forschungszentrum Jülich, Juelich, Germany
²¹⁷ CERN, European Organization for Nuclear Research, Geneva, Switzerland
²¹⁸ HUN-REN ATOMKI-Institute of Nuclear Research, Debrecen, Hungary
²¹⁹ Universitatea Babes-Bolyai-Facultatea de Fizica, Cluj-Napoca, Romania
²²⁰ MTA-ELTE Lendület CMS Particle and Nuclear Physics Group, Eötvös Loránd University, Budapest, Hungary
²²¹ HUN-REN Wigner Research Centre for Physics, Budapest, Hungary
²²² Physics Department, Faculty of Science, Assiut University, Assiut, Egypt
²²³ Punjab Agricultural University, Ludhiana, India
²²⁴ University of Visva-Bharati, Santiniketan, India
²²⁵ Indian Institute of Science (IISc), Bangalore, India
²²⁶ Amity University Uttar Pradesh, Noida, India
²²⁷ IIT Bhubaneswar, Bhubaneswar, India
²²⁸ Institute of Physics, Bhubaneswar, India
²²⁹ University of Hyderabad, Hyderabad, India
²³⁰ Deutsches Elektronen-Synchrotron, Hamburg, Germany
²³¹ Isfahan University of Technology, Isfahan, Iran
²³² Sharif University of Technology, Tehran, Iran
²³³ Department of Physics, University of Science and Technology of Mazandaran, Behshahr, Iran
²³⁴ Department of Physics, Faculty of Science, Arak University, Arak, Iran
²³⁵ Helwan University, Cairo, Egypt
²³⁶ Italian National Agency for New Technologies, Energy and Sustainable Economic Development, Bologna, Italy
²³⁷ Centro Siciliano di Fisica Nucleare e di Struttura Della Materia, Catania, Italy
²³⁸ Università degli Studi Guglielmo Marconi, Rome, Italy
²³⁹ Scuola Superiore Meridionale, Università di Napoli ’Federico II’, Naples, Italy
²⁴⁰ Fermi National Accelerator Laboratory, Batavia, IL, USA
²⁴¹ Laboratori Nazionali di Legnaro dell’INFN, Legnaro, Italy
²⁴² Consiglio Nazionale delle Ricerche - Istituto Officina dei Materiali, Perugia, Italy
²⁴³ Department of Applied Physics, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Malaysia
²⁴⁴ Consejo Nacional de Ciencia y Tecnología, Mexico City, Mexico
²⁴⁵ Trincomalee Campus, Eastern University, Nilaveli, Sri Lanka
²⁴⁶ Saegis Campus, Nugegoda, Sri Lanka
²⁴⁷ National and Kapodistrian University of Athens, Athens, Greece
²⁴⁸ Ecole Polytechnique Fédérale Lausanne, Lausanne, Switzerland
²⁴⁹ University of Vienna, Vienna, Austria
²⁵⁰ Universität Zürich, Zurich, Switzerland
²⁵¹ Stefan Meyer Institute for Subatomic Physics, Vienna, Austria
²⁵² Laboratoire d’Annecy-le-Vieux de Physique des Particules, IN2P3-CNRS, Annecy-le-Vieux, France
²⁵³ Near East University, Research Center of Experimental Health Science, Mersin, Turkey
²⁵⁴ Konya Technical University, Konya, Turkey
²⁵⁵ Izmir Bakircay University, Izmir, Turkey
²⁵⁶ Adiyaman University, Adiyaman, Turkey
²⁵⁷ Bozok Universitetesi Rektörlügü, Yozgat, Turkey
²⁵⁸ Marmara University, Istanbul, Turkey
²⁵⁹ Milli Savunma University, Istanbul, Turkey
²⁶⁰ Kafkas University, Kars, Turkey
²⁶¹ Istanbul Okan University, Istanbul, Turkey
²⁶² Hacettepe University, Ankara, Turkey
²⁶³ Erzincan Binali Yildirim University, Erzincan, Turkey
²⁶⁴ Istanbul University - Cerrahpasa, Faculty of Engineering, Istanbul, Turkey
²⁶⁵ Yildiz Technical University, Istanbul, Turkey
²⁶⁶ School of Physics and Astronomy, University of Southampton, Southampton, UK
²⁶⁷ IPPP Durham University, Durham, UK
²⁶⁸ Monash University, Faculty of Science, Clayton, Australia
²⁶⁹ Università di Torino, Turin, Italy
²⁷⁰ Bethel University, St. Paul, MN, USA
²⁷¹ Karamanoğlu Mehmetbey University, Karaman, Turkey
²⁷² California Institute of Technology, Pasadena, CA, USA
²⁷³ United States Naval Academy, Annapolis, MD, USA
²⁷⁴ Ain Shams University, Cairo, Egypt
²⁷⁵ Bingol University, Bingol, Turkey
²⁷⁶ Georgian Technical University, Tbilisi, Georgia
²⁷⁷ Sinop University, Sinop, Turkey
²⁷⁸ Erciyes University, Kayseri, Turkey
²⁷⁹ Horia Hulubei National Institute of Physics and Nuclear Engineering (IFIN-HH), Bucharest, Romania
²⁸⁰ another institute or international laboratory covered by a cooperation agreement with CERN, Geneva, Switzerland
²⁸¹ Texas A&M University at Qatar, Doha, Qatar
²⁸² Kyungpook National University, Daegu, Korea
²⁸³ another institute or international laboratory covered by a cooperation agreement with CERN, Geneva, Switzerland
²⁸⁴ Institute of Nuclear Physics of the Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
²⁸⁵ Northeastern University, Boston, MA, USA
²⁸⁶ Imperial College, London, UK
²⁸⁷ Yerevan Physics Institute, Yerevan, Armenia
²⁸⁸ Universiteit Antwerpen, Antwerpen, Belgium
²⁸⁹ CERN, Geneva, Switzerland

^a cms-publication-committee-chair@cern.ch

Received: 27 October 2024
Accepted: 15 December 2024
Published online: 25 March 2025

Abstract

A search is presented for the pair production of new heavy resonances, each decaying into a top quark (t) or antiquark and a gluon (g). The analysis uses data recorded with the CMS detector from proton–proton collisions at a center-of-mass energy of 13$\text{Te}\text{V}$ at the LHC, corresponding to an integrated luminosity of 138${\text{fb}}^{-1}$. Events with one muon or electron, multiple jets, and missing transverse momentum are selected. After using a deep neural network to enrich the data sample with signal-like events, distributions in the scalar sum of the transverse momenta of all reconstructed objects are analyzed in the search for a signal. No significant deviations from the standard model prediction are found. Upper limits at 95% confidence level are set on the product of cross section and branching fraction squared for the pair production of excited top quarks in the $\text{t}_{}^{\ast }\to \text{tg}$ decay channel. The upper limits range from 120 to 0.8$\text{fb}$ for a $\text{t}_{}^{\ast }$with spin-1/2 and from 15 to 1.0$\text{fb}$ for a $\text{t}_{}^{\ast }$with spin-3/2. These correspond to mass exclusion limits up to 1050 and 1700$\text{Ge}\text{V}$ for spin-1/2 and spin-3/2 $\text{t}_{}^{\ast }$particles, respectively. These are the most stringent limits to date on the existence of $\text{t}_{}^{\ast }\to \text{tg}$ resonances.