Abstract
We analyze geometrical scaling (GS) in Deep Inelstic Scattering at HERA and in pp collisions at the LHC energies and in NA61/SHINE experiment. We argue that GS is working up to relatively large Bjorken $x \sim 0.1$. This allows to study GS in negative pion multiplicity $p_{\rm T}$ distributions at NA61/SHINE energies where clear sign of scaling violations is seen with growing rapidity when one of the colliding partons has Bjorekn $x \ge 0.1$.
Highlights
In this short note, following Refs. [1]–[5] where an extensive list of references can be found, we will focus on the scaling law, called geometrical scaling (GS), which has been introduced in the context of DIS [6]
GSeQCD printed on August 26, 2021 central rapidity [13], we show that GS can be extended to hadronic collisions
By increasing y some points fall outside the GS window because x1 ≥ xmax, and for y ≥ 1.7 no GS should be present in NA61/SHINE data
Summary
In this short note, following Refs. [1]–[5] where an extensive list of references can be found, we will focus on the scaling law, called geometrical scaling (GS), which has been introduced in the context of DIS [6]. It has been shown that GS is exhibited by the pT spectra at the LHC [1]–[3]. We present analysis of three different pieces of data which exhibit both emergence and violation of geometrical scaling. 3 we describe our recent analysis [4] of combined HERA data [11] where it has been shown that GS in DIS works very well up to relatively large xmax ∼ 0.1 (see [12]). For particles produced at non-zero rapidities, one (larger) Bjorken x = x1 may leave the domain of GS, i.e. x1 > xmax, and violation of GS should appear. 5 we present analysis of very recent pp data from NA61/SHINE experiment at CERN [14] and show that GS is violated once rapidity is increased.
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