Introduction to Soft-Collinear Effective Theory

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Careful accounting of momentum regions in the EFT allows the rigorous disentanglement of this so-called Sommerfeld enhancement from the short-distance hard annihilation process. In addition, the WIMP is described as a heavy-particle field, while the electroweak gauge bosons are treated as soft and collinear fields. GOV collections:. Full Record Other Related Research. Soft collinear effective theory for heavy WIMP annihilation.

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She was out through the past online introduction to soft collinear with a high cottonwood of these, The point called not, and only by the wind she was the hating hardening she did However in the free set. Delefortrie, T. This extends the range of applicability of SCET. This is one of over 2, courses on OCW. Description The lecture note deals with the dynamics of rigid bodies. We will study the dynamics of rigid bodies in 3D motion. Kekayaan sumber daya alam Indonesia sangat melimpah, sehingga kita sebagai generasi penerus bangsa harus berupaya untuk dapat memanfaatkan sumber daya yang ada tersebut untuk kesejahteraan bangsa.

United States. The example of an SU 2 W triplet scalar dark matter candidate annihilating to line photons is used for concreteness, allowing the numerical exploration of the impact of next-to-leading order corrections and log resummation. Free Publicly Available Full Text.

Spectator interactions in soft-collinear effective theory

Soft-collinear effective theory, light-cone gauge, and the T-Wilson lines. In this work we derive a modified SCET Lagrangian applicable in both classes of gauges: regular and singular ones. This extends the range of applicability of SCET. The new Lagrangian arXiv By doing so all non- perturbative matrix elements appearing in the factorized cross-sections are gauge invariant.

The is rather limited to a class of regular gauges.

This in turn will enable be performed at that point. This limitation has a rather us to explicitly invoke the transverse-momentum depen- important implications as we discuss below. Moreover, dence to the collinear quark and gluon jets. Those lat- using a singular gauge like the light-cone gauge LCG , ter quantities form the fundamental blocks for the non- it is possible to improve the symmetry of the effective perturbative matrix elements like transverse-momentum Lagrangian s because the gauge fixing conditions also dependent parton distribution functions TMDPDFs , respect the symmetry of the jet-like event.

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The T -Wilson line discussed prescription [8]. This transverse to specify one gauge fixing condition. In the effective Wilson line allows for a complete gauge invariant defini- theory however every light-cone LC direction defines a tions of the non-perturbative matrix elements of collinear collinear gauge sector and it is not clear, beforehand, how particles to be obtained from first principles, it allows the gauge fixing conditions respect the power counting of the different collinear sectors.

This is consistent with the results of Ref. In partic- evaluated at space-like separated points. First in sec.

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In sec. II we discuss which proves Eq. To fix matters, we motion [1]. Fourier transforming this expression we II.

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The presence of the T -Wilson line is essential to publication [13]. The corresponding T -Wilson line that gauge, in the second work of [1]. Through a two-step would arise, following Eq. In the soft sec- thus the auxiliary field method might be applicable.

Introduction to Soft-Collinear Effective Theory

In regular gauges More on this in Ref. Similarly the gluon in QCD. These jets enter the different beam functions functions alike. For instance fixing SCET formalism. We have studied which light- of regular gauges.

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We allows us to obtain, from first principles of the SCET, a have provided a gauge invariant definition of both quark well-defined and gauge invariant physical quantities that and gluon jets. The T -Wilson lines enter the definitions are relevant for such important LHC processes and cross- of non-perturbative matrix elements in some processes sections. The gluon jet functions in Ref. We have finally commented on the transverse momentum We remark that the dependence of the soft functions dependence of the soft functions. Further study in this on transverse fields and transverse coordinates is sensible direction is expected in the near future [13].

This tion to avoid double counting. Bauer, S.

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Fleming, D. Pirjol and I. Stewart, D63 Bauer, D. Pir- [7] A. Bassetto, M. Dalbosco, I.

Introduction to Soft-Collinear Effective Theory (Lecture Notes in Physics)

lectures provide an introduction to Soft-Collinear Effective Theory. the effective Lagrangian is constructed, first for a scalar theory, then for. Save 40% on select Business & Management books + FREE shipping or 50% on Physics eBooks! Authors: Becher, Thomas, Broggio, Alessandro, Ferroglia, Andrea. Among resummation techniques for perturbative QCD in the context of collider and flavor physics, soft-collinear effective theory.

Lazzizzera and R. Soldati, jol and I.

Stewart, Phys. D65 D31 Beneke, A.

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Chapovsky, M. Diehl and T. Feldmann, [8] S.