Soft-hard framework with exact four-momentum conservation for small systems
A new framework, called , for the combined study of both hard and soft transverse momentum sectors in high-energy proton-proton (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mrow><a:mi>p</a:mi><a:mtext>−</a:mtext><a:mi>p</a:mi></a:mrow></a:math>) and proton-nucleus (<b:math xmlns:b="http://www.w3.org/1998/Math/MathML"><b:mrow><b:mi>p</b:mi><b:mtext>−</b:mtext><b:mi>A</b:mi></b:mrow></b:math>) collisions is set up. A dynamical initial state is set up using the model with transverse locations of hotspots within each incoming nucleon. A hard scattering that emanates from two colliding hotspots is carried out using the Pythia generator. Initial state radiation from the incoming hard partons is carried out in a new module called , which includes the longitudinal location of initial splits. The energy-momentum of both the initial hard partons and their associated beam remnants is removed from the hot spots, depleting the energy-momentum available for the formation of the bulk medium. Outgoing showers are simulated using the generator, and results are presented for both cases, allowing for and not allowing for energy loss. First comparisons between this hard-soft model and single inclusive hadron and jet data from <c:math xmlns:c="http://www.w3.org/1998/Math/MathML"><c:mrow><c:mi>p</c:mi><c:mtext>−</c:mtext><c:mi>p</c:mi></c:mrow></c:math> and minimum bias <d:math xmlns:d="http://www.w3.org/1998/Math/MathML"><d:mrow><d:mi>p</d:mi><d:mtext>−</d:mtext><d:mtext>Pb</d:mtext></d:mrow></d:math> collisions are presented. Single hadron spectra in <e:math xmlns:e="http://www.w3.org/1998/Math/MathML"><e:mrow><e:mi>p</e:mi><e:mtext>−</e:mtext><e:mi>p</e:mi></e:mrow></e:math> are used to carry out a limited (in number of parameters) Bayesian calibration of the model. Fair comparisons with data are indicative of the utility of this new framework. Theoretical studies of the correlation between jet <f:math xmlns:f="http://www.w3.org/1998/Math/MathML"><f:msub><f:mi>p</f:mi><f:mi>T</f:mi></f:msub></f:math> and event activity at mid and forward rapidity are carried out.
Authors
- Amit Kumar (ORCID: https://orcid.org/0000-0003-1099-6422)
- X.-N. Wang
- Rashmi Datta (ORCID: https://orcid.org/0000-0003-2350-882X)
- R. A. Soltz (ORCID: https://orcid.org/0000-0001-5859-2369)
- Charles Gale (ORCID: https://orcid.org/0000-0001-7351-9338)
- Rainer J. Fries (ORCID: https://orcid.org/0000-0002-6366-6745)
- Abhijit Majumder (ORCID: https://orcid.org/0000-0002-0695-3967)
- A. Angerami
- Matthew Luzum (ORCID: https://orcid.org/0000-0002-0367-7055)
- Joseph Latessa
- M. Kelsey (ORCID: https://orcid.org/0000-0001-8035-3313)
- M. Kordell
- Xiang-Yu Wu (ORCID: https://orcid.org/0000-0002-5098-7021)
- L. Schwiebert
- Jean-François Paquet (ORCID: https://orcid.org/0000-0001-8736-8171)
- C. Nattrass (ORCID: https://orcid.org/0000-0002-8768-6468)
- R. Arora
- C. Sirimanna (ORCID: https://orcid.org/0000-0003-2092-8394)
- Steffen A. Bass (ORCID: https://orcid.org/0000-0002-9451-0954)
- Hendrik Roch (ORCID: https://orcid.org/0000-0002-0187-6843)
- Yayun He (ORCID: https://orcid.org/0000-0001-8202-3131)
- Chun Shen (ORCID: https://orcid.org/0000-0002-6677-4784)
- C. De Martín (ORCID: https://orcid.org/0000-0002-0711-4022)
- Charles Thomas Parker (ORCID: https://orcid.org/0000-0002-7436-3176)
- H. Mehryar
- Sangyong Jeon (ORCID: https://orcid.org/0000-0001-5472-5005)
- Lipei Du (ORCID: https://orcid.org/0000-0002-3029-6602)
- Y. Tachibana (ORCID: https://orcid.org/0000-0001-7625-0100)
- R. Lemmon
- J. Velkovska
- Andi Mankolli
- B. V. Jacak
- Yi Ji (ORCID: https://orcid.org/0009-0006-2197-2599)
- L. Kasper
- T. Mengel (ORCID: https://orcid.org/0000-0002-1205-9742)
- G. Vujanovic
- D. Soeder
- A. Sengupta
- J. Norman (ORCID: https://orcid.org/0000-0002-3783-5760)
- Wenbin Zhao (ORCID: https://orcid.org/0000-0001-8324-6134)
- Mayank Singh (ORCID: https://orcid.org/0000-0001-8009-6994)
- Simon Mak (ORCID: https://orcid.org/0000-0002-5693-7076)
- G. Roland
- P.M. Jacobs
- Y. Chen
- B. Schenke
- J. Putschke
- R. J. Ehlers
- Y.-J. Lee
- B. Boudreaux
- R. Kunnawalkam-Elayavalli (ORCID: https://orcid.org/0000-0002-9202-1516)
- Karl J. Friston
Institutions
- Goethe University Frankfurt (DE)
- Lawrence Livermore National Laboratory (US)
- Goethe-Institute United Kingdom (GB)
- University of Helsinki (FI)
- University of Liverpool (GB)
- GSI Helmholtz Centre for Heavy Ion Research (DE)
- Duke University (US)
- Universidade de São Paulo (BR)
- Wayne State University (US)
- University of Regina (CA)
- Vanderbilt University (US)
- Helsinki Institute of Physics (FI)
- Mitchell Institute (US)
- Frankfurt Institute for Advanced Studies (DE)
- Daresbury Laboratory (GB)
- University of California System (US)
- Central China Normal University (CN)
- RIKEN BNL Research Center (US)
- McGill University (CA)
- Massachusetts Institute of Technology (US)
- Akita International University (JP)
- University of Tennessee at Knoxville (US)
- South China University of Technology (CN)
- Texas A&M University (US)
- University of Jyväskylä (FI)
Publication Details
- Journal
- Physical review. C
- Published
- 2025-06-17
- DOI
- https://doi.org/10.1103/r8jt-1xpk
- Citations
- 4
- Primary Topic
- Cosmology and Gravitation Theories
- Type
- article
- Field-Weighted Citation Impact
- 4.62
Funders
- National Science Foundation
- U.S. Department of Energy
- Wayne State University
- University of Regina
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- National Natural Science Foundation of China
- Academy of Finland
- Office of Science
- Natural Sciences and Engineering Research Council of Canada
- European Research Council
- Nuclear Physics