Shape and soft functions of HQET and SCET in the 't Hooft model

Grinstein, Benjamı́n

doi:10.1016/j.nuclphysb.2006.08.006

Cited by 3 publications

(1 citation statement)

References 52 publications

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“…Subsequently in [12] a quarkonium production shape function was obtained analytically. Analytical results for the decay shape function in the 't Hooft model were obtained in [13].…”

Section: Introductionmentioning

confidence: 99%

Shape function in QED and bound muon decays

Szafron

Czarnecki

2015

Phys. Rev. D

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When a particle decays in an external field, the energy spectrum of the products is smeared. We derive an analytical expression for the shape function accounting for the motion of the decaying particle and the final state interactions. We apply our result to calculate the muonium decay spectrum and comment on applications to the muon bound in an atom.Comment: 5 pages, 3 figures v2: Corrected verrsion to appear in PR

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“…Subsequently in [12] a quarkonium production shape function was obtained analytically. Analytical results for the decay shape function in the 't Hooft model were obtained in [13].…”

Section: Introductionmentioning

confidence: 99%

Shape function in QED and bound muon decays

Szafron

Czarnecki

2015

Phys. Rev. D

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Quark-hadron duality for heavy meson mixings in the ’t Hooft model

Umeeda

2021

J. High Energ. Phys.

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We study local quark-hadron duality and its violation for the $$ {D}^0-{\overline{D}}^0 $$ D 0 − D ¯ 0 , $$ {B}_d^0-{\overline{B}}_d^0 $$ B d 0 − B ¯ d 0 and $$ {B}_s^0-{\overline{B}}_s^0 $$ B s 0 − B ¯ s 0 mixings in the ’t Hooft model, offering a laboratory to test QCD in two-dimensional spacetime together with the large-Nc limit. With the ’t Hooft equation being numerically solved, the width difference is calculated as an exclusive sum over two-body decays. The obtained rate is compared to inclusive one that arises from four-quark operators to check the validity of the heavy quark expansion (HQE). In view of the observation in four-dimensions that the HQE prediction for the width difference in the $$ {D}^0-{\overline{D}}^0 $$ D 0 − D ¯ 0 mixing is four orders of magnitude smaller than the experimental data, in this work we investigate duality violation in the presence of the GIM mechanism. We show that the order of magnitude of the observable in the $$ {D}^0-{\overline{D}}^0 $$ D 0 − D ¯ 0 mixing is enhanced in the exclusive analysis relative to the inclusive counterpart, when the 4D-like phase space function is used for the inclusive analysis. By contrast, it is shown that for the $$ {B}_d^0-{\overline{B}}_d^0 $$ B d 0 − B ¯ d 0 and $$ {B}_s^0-{\overline{B}}_s^0 $$ B s 0 − B ¯ s 0 mixings, small yet non-negligible corrections to the inclusive result emerge, which are still consistent with what is currently indicated in four-dimensions.

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Charm physics — A field full of challenges and opportunities

Liu

Wei

2009

Front. Phys. China

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In this review, we discuss some interesting issues in charm physics, which is full of puzzles and challenges. So far in this field, there exist many problems which have not obtained satisfactory answers yet as more unexpected phenomena Continue to be observed at the current facilities of high energy physics. Charm physics may become an ideal place for searching new resonances and studying non-perturbative QCD effects, moreover it is probably an area for exploring new physics beyond the Standard Model. More data will be available at the BE-SIII, B-factories, LHC and even the future ILC, which may open a wide window to a better understanding of its nature.

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Shape and soft functions of HQET and SCET in the 't Hooft model

Cited by 3 publications

References 52 publications

Shape function in QED and bound muon decays

Shape function in QED and bound muon decays

Quark-hadron duality for heavy meson mixings in the ’t Hooft model

Charm physics — A field full of challenges and opportunities

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