Multiplicity dependence of the entropy and heat capacity for pp collisions at LHC energies
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908742643089408 |
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| author | López, C. E. Munguía Herrera, D. Rosales García, J. R. Alvarado Téllez, A. Fernández Ramírez, J. E. |
| author_facet | López, C. E. Munguía Herrera, D. Rosales García, J. R. Alvarado Téllez, A. Fernández Ramírez, J. E. |
| contents | We investigate the multiplicity dependence of the transverse momentum spectrum of the charged particle production in pp collisions at LHC energies. To this end, we consider the experimental data sets classified with different multiplicity estimators, defined by the ALICE Collaboration, that are analyzed within the framework of nonextensive particle production. We compute the variance, kurtosis, Shannon entropy, and heat capacity of the $p_T$ spectrum to study the hardening process as a function of the multiplicity and temperature under the different event classifiers. We found that both the Shannon entropy and the heat capacity show different responses for the triggers at the forward-backward and midrapidity regions. We emphasize that the selection of event biases may induce different responses in estimating theoretical and phenomenological observables that could lead to misleading conclusions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_05058 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multiplicity dependence of the entropy and heat capacity for pp collisions at LHC energies López, C. E. Munguía Herrera, D. Rosales García, J. R. Alvarado Téllez, A. Fernández Ramírez, J. E. High Energy Physics - Experiment High Energy Physics - Phenomenology We investigate the multiplicity dependence of the transverse momentum spectrum of the charged particle production in pp collisions at LHC energies. To this end, we consider the experimental data sets classified with different multiplicity estimators, defined by the ALICE Collaboration, that are analyzed within the framework of nonextensive particle production. We compute the variance, kurtosis, Shannon entropy, and heat capacity of the $p_T$ spectrum to study the hardening process as a function of the multiplicity and temperature under the different event classifiers. We found that both the Shannon entropy and the heat capacity show different responses for the triggers at the forward-backward and midrapidity regions. We emphasize that the selection of event biases may induce different responses in estimating theoretical and phenomenological observables that could lead to misleading conclusions. |
| title | Multiplicity dependence of the entropy and heat capacity for pp collisions at LHC energies |
| topic | High Energy Physics - Experiment High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2508.05058 |