2012
DOI: 10.1016/j.physletb.2011.11.040
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Medium-induced parton splitting kernels from Soft Collinear Effective Theory with Glauber gluons

Abstract: We derive the splitting kernels for partons produced in large Q 2 scattering processes that subsequently traverse a region of strongly-interacting matter using a recently-developed effective theory SCETG. We include all corrections beyond the small-x approximation, consistent with the power counting of SCETG. We demonstrate how medium recoil, geometry and expansion scenarios, and phase space cuts can be implemented numerically for phenomenological applications. For the simplified case of infinite transverse mo… Show more

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Cited by 107 publications
(153 citation statements)
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“…The medium-induced radiative corrections factorize as a standard integral convolution [65]. If P q,g (ǫ) is the probability density for quarks and gluons to lose a fraction ǫ of their energy, it can be implemented in the cross section calculation as follows [25]:…”
Section: Cold Nuclear Matter Effectsmentioning
confidence: 99%
“…The medium-induced radiative corrections factorize as a standard integral convolution [65]. If P q,g (ǫ) is the probability density for quarks and gluons to lose a fraction ǫ of their energy, it can be implemented in the cross section calculation as follows [25]:…”
Section: Cold Nuclear Matter Effectsmentioning
confidence: 99%
“…In equation 1 P q,g ( ) is the probability that a fraction of the parent parton is redistributed through medium-induced multiple gluon emission. We employ the soft gluon emission limit of the of the SCET G [19,20] splitting functions [21,22] used to predict inclusive light hadron attenuation in heavy ion collisions [23,24]. We note that the spectrum coincides with the original energy loss derivation of [25].…”
Section: Heavy Ion Collisions Collisionsmentioning
confidence: 99%
“…Red and green solid lines correspond to full splitting and soft x approximation respectively, using analytical formulas from Ref. [11], same colors but dashed lines represent numerical integration. Right panel: medium-induced splitting q → qg taking into account medium-recoil and finite phase-space cuts.…”
Section: Medium-induced Splitting Kernelsmentioning
confidence: 99%
“…[11]. The vacuum splitting functions P (i) vac (x) are well known [12] and we do not present them here for brevity.…”
Section: Medium-induced Splitting Kernelsmentioning
confidence: 99%
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