Missing beauty of proton-proton interactions Iakov Aizenberg Alexander Milov Department of Physics and Astrophysics Weizmann Institute of Science

2025-05-02 0 0 1.24MB 6 页 10玖币
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Missing beauty of proton-proton interactions
Iakov Aizenberg, Alexander Milov
Department of Physics and Astrophysics, Weizmann Institute of Science,
Rehovot, 761001, Israel
Zvi Citron
Department of Physics, Ben Gurion University of the Negev, Beer Sheva,
8410501, Israel
Received October 21, 2022
From first principles, particles with the same quark content and sim-
ilar masses should have similar kinematic distributions. Transverse mass
scaling may be employed to estimate possible differences in the momentum
distribution of such particles. Based on this scaling the excited bottomo-
nium states measured at the LHC are found to be significantly different
from Υ(1S) to the extent that the integrated yield of Υ(2S) is 1.6 times
less and Υ(3S) 2.4 times less than would be explained by the mass differ-
ence. This proceeding explains how the estimate is worked out and relates
it to other measurements performed at the LHC.
Recent measurements conducted by the ATLAS [1], CMS [2, 3] and
LHCb [4] experiments show that in proton-proton (pp) collisions the yield
of excited quarkonia states, (q¯q)?, with respect to the ground state, q¯q, di-
minishes with the event multiplicity. The magnitude of the effect increases
at low transverse momentum (pT) of the particle. This effect should have
an impact on the pTdistribution of the (q¯q)?which can be measured in
an independent analysis. An approach to do that can be based on the as-
sumption that particles with the same quark content and close mass should
have similar momentum distributions. This assumption is appropriate for
the Υ-meson family, in which the masses of the Υ(2S) and Υ(3S) are larger
than the mass of Υ(1S) by 6% 9.5%, respectively.
In a broader sense, this assumption is the basis of the transverse mass
(mT) scaling, stating that particles produced in pp collisions have the same
Presented at the XIVth International Conference on Beauty, Charm and Hyperon
Hadrons, June 5-11, 2022, Krak´ow, Poland by Alexander Milov
(1)
arXiv:2210.11026v1 [hep-ph] 20 Oct 2022
2mtproc printed on October 21, 2022
mT-distribution, where mT=qp2
T+m2and mis the particle rest mass.
The mT-scaling is widely exploited in many phenomenological studies [5–9]
and is often used in the form
dσ
dmT1 + mT
nT n.(1)
The mT-scaling phenomenon is equivalent to the fact that the exponent n
and parameter Tare universal for all particles, although different for mesons
and baryons (e.g. [8] and references therein). This analysis considers only
mesons. The scaling behavior of heavy mesons is studied in comparison to
light quark species and is used to understand the ratios between excited and
ground quarkonia states measured in experiments.
A comprehensive study of the mTdistributions of the mesons at three
LHC energies s= 7,8, and 13 TeV is performed in [10]. It uses 72 data
samples of 18 mesons and their isospin partners. Figure 1 shows the param-
eter nobtained in fits of individual data samples. When fitting data with
0 2 4 6 8 10
[GeV]
0
m
4
5
6
7
8
n
u,d,s
c||
c
cc
)*cc(b||
b
bb
)*bb(
= 7, 8, 13 TeVspp, ALICE
ATLAS
CMS
LHCb
Fig. 1. Measured nfor different species. Colors correspond to collision energies,
symbol shapes denote experiments. Error bars are uncertainties of the fits. Circled
points are used for common fits of the u,d,s and q¯qmesons. Results of the fits are
shown by horizontal lines. From reference [10].
the form of Eq. 1, parameters nand Tare strongly correlated, therefore T
is fixed to 254 MeV. This value is similar to many other studies conducted
at LHC energies and it can be somewhat different at different energies. It
is shown later that the derived conclusions are indifferent to the exact value
of T, which is also checked by varying it by ±50 MeV in the analysis.
Several trends are visible in Figure 1. Particles produced in collisions
with higher shave harder spectra (lower n). The magnitude of ndepends
摘要:

Missingbeautyofproton-protoninteractionsIakovAizenberg,AlexanderMilovDepartmentofPhysicsandAstrophysics,WeizmannInstituteofScience,Rehovot,761001,IsraelZviCitronDepartmentofPhysics,BenGurionUniversityoftheNegev,BeerSheva,8410501,IsraelReceivedOctober21,2022From rstprinciples,particleswiththesamequa...

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